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Finding the Fourth Proportional to 542.49, 749.01 and 507.66

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Solution

The fourth proportional to 542.49, 749.01 and 507.66 is: 700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.49 : 749.01 = 507.66 : x
  2. Step 2: Convert to fraction form
    542.49/749.01 = 507.66/x
  3. Step 3: Cross multiply
    542.49x = 749.01 × 507.66
  4. Step 4: Simplify right side
    542.49x = 380,242.42
  5. Step 5: Solve for x
    x = 380,242.42/542.49
  6. Step 6: Final answer
    x = 700.92

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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.