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Finding the Fourth Proportional to 672.68, 929.19 and 527.14

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Solution

The fourth proportional to 672.68, 929.19 and 527.14 is: 728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 929.19 = 527.14 : x
  2. Step 2: Convert to fraction form
    672.68/929.19 = 527.14/x
  3. Step 3: Cross multiply
    672.68x = 929.19 × 527.14
  4. Step 4: Simplify right side
    672.68x = 489,813.22
  5. Step 5: Solve for x
    x = 489,813.22/672.68
  6. Step 6: Final answer
    x = 728.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.