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Finding the Fourth Proportional to 542.64, 748.50 and 368.28

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Solution

The fourth proportional to 542.64, 748.50 and 368.28 is: 507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 748.50 = 368.28 : x
  2. Step 2: Convert to fraction form
    542.64/748.50 = 368.28/x
  3. Step 3: Cross multiply
    542.64x = 748.50 × 368.28
  4. Step 4: Simplify right side
    542.64x = 275,657.58
  5. Step 5: Solve for x
    x = 275,657.58/542.64
  6. Step 6: Final answer
    x = 507.99

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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.