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Finding the Fourth Proportional to 502.14, 749.70 and 471.24

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Solution

The fourth proportional to 502.14, 749.70 and 471.24 is: 703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 749.70 = 471.24 : x
  2. Step 2: Convert to fraction form
    502.14/749.70 = 471.24/x
  3. Step 3: Cross multiply
    502.14x = 749.70 × 471.24
  4. Step 4: Simplify right side
    502.14x = 353,288.63
  5. Step 5: Solve for x
    x = 353,288.63/502.14
  6. Step 6: Final answer
    x = 703.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.