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Finding the Fourth Proportional to 502.69, 754.80 and 477.94

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Solution

The fourth proportional to 502.69, 754.80 and 477.94 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 754.80 = 477.94 : x
  2. Step 2: Convert to fraction form
    502.69/754.80 = 477.94/x
  3. Step 3: Cross multiply
    502.69x = 754.80 × 477.94
  4. Step 4: Simplify right side
    502.69x = 360,749.11
  5. Step 5: Solve for x
    x = 360,749.11/502.69
  6. Step 6: Final answer
    x = 717.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.