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Finding the Fourth Proportional to 542.23, 747.77 and 365

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Solution

The fourth proportional to 542.23, 747.77 and 365 is: 503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 747.77 = 365 : x
  2. Step 2: Convert to fraction form
    542.23/747.77 = 365/x
  3. Step 3: Cross multiply
    542.23x = 747.77 × 365
  4. Step 4: Simplify right side
    542.23x = 272,936.05
  5. Step 5: Solve for x
    x = 272,936.05/542.23
  6. Step 6: Final answer
    x = 503.36

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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.