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Finding the Fourth Proportional to 542.08, 747.72 and 355.30

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Solution

The fourth proportional to 542.08, 747.72 and 355.30 is: 490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.08 : 747.72 = 355.30 : x
  2. Step 2: Convert to fraction form
    542.08/747.72 = 355.30/x
  3. Step 3: Cross multiply
    542.08x = 747.72 × 355.30
  4. Step 4: Simplify right side
    542.08x = 265,664.92
  5. Step 5: Solve for x
    x = 265,664.92/542.08
  6. Step 6: Final answer
    x = 490.08

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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.