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Finding the Fourth Proportional to 502.82, 750.54 and 467.57

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Solution

The fourth proportional to 502.82, 750.54 and 467.57 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.82 : 750.54 = 467.57 : x
  2. Step 2: Convert to fraction form
    502.82/750.54 = 467.57/x
  3. Step 3: Cross multiply
    502.82x = 750.54 × 467.57
  4. Step 4: Simplify right side
    502.82x = 350,927.07
  5. Step 5: Solve for x
    x = 350,927.07/502.82
  6. Step 6: Final answer
    x = 697.91

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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.