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Finding the Fourth Proportional to 542.32, 746.40 and 431.44

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Solution

The fourth proportional to 542.32, 746.40 and 431.44 is: 593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 746.40 = 431.44 : x
  2. Step 2: Convert to fraction form
    542.32/746.40 = 431.44/x
  3. Step 3: Cross multiply
    542.32x = 746.40 × 431.44
  4. Step 4: Simplify right side
    542.32x = 322,026.82
  5. Step 5: Solve for x
    x = 322,026.82/542.32
  6. Step 6: Final answer
    x = 593.79

Related Problems

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Double scale
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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.