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Finding the Fourth Proportional to 586.29, 807.67 and 502

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Solution

The fourth proportional to 586.29, 807.67 and 502 is: 691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 807.67 = 502 : x
  2. Step 2: Convert to fraction form
    586.29/807.67 = 502/x
  3. Step 3: Cross multiply
    586.29x = 807.67 × 502
  4. Step 4: Simplify right side
    586.29x = 405,450.34
  5. Step 5: Solve for x
    x = 405,450.34/586.29
  6. Step 6: Final answer
    x = 691.55

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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.