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Finding the Fourth Proportional to 542.40, 746.64 and 411.36

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Solution

The fourth proportional to 542.40, 746.64 and 411.36 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.40 : 746.64 = 411.36 : x
  2. Step 2: Convert to fraction form
    542.40/746.64 = 411.36/x
  3. Step 3: Cross multiply
    542.40x = 746.64 × 411.36
  4. Step 4: Simplify right side
    542.40x = 307,137.83
  5. Step 5: Solve for x
    x = 307,137.83/542.40
  6. Step 6: Final answer
    x = 566.26

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.