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Finding the Fourth Proportional to 691.08, 953.94 and 458.28

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Solution

The fourth proportional to 691.08, 953.94 and 458.28 is: 632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 953.94 = 458.28 : x
  2. Step 2: Convert to fraction form
    691.08/953.94 = 458.28/x
  3. Step 3: Cross multiply
    691.08x = 953.94 × 458.28
  4. Step 4: Simplify right side
    691.08x = 437,171.62
  5. Step 5: Solve for x
    x = 437,171.62/691.08
  6. Step 6: Final answer
    x = 632.59

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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.