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Finding the Fourth Proportional to 542.94, 749.52 and 410.22

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Solution

The fourth proportional to 542.94, 749.52 and 410.22 is: 566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 749.52 = 410.22 : x
  2. Step 2: Convert to fraction form
    542.94/749.52 = 410.22/x
  3. Step 3: Cross multiply
    542.94x = 749.52 × 410.22
  4. Step 4: Simplify right side
    542.94x = 307,468.09
  5. Step 5: Solve for x
    x = 307,468.09/542.94
  6. Step 6: Final answer
    x = 566.30

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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.