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Finding the Fourth Proportional to 688.29, 1,032.26 and 322.71

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Solution

The fourth proportional to 688.29, 1,032.26 and 322.71 is: 483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.29 : 1,032.26 = 322.71 : x
  2. Step 2: Convert to fraction form
    688.29/1,032.26 = 322.71/x
  3. Step 3: Cross multiply
    688.29x = 1,032.26 × 322.71
  4. Step 4: Simplify right side
    688.29x = 333,120.62
  5. Step 5: Solve for x
    x = 333,120.62/688.29
  6. Step 6: Final answer
    x = 483.98

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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.