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Finding the Fourth Proportional to 690.72, 952.86 and 458.04

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Solution

The fourth proportional to 690.72, 952.86 and 458.04 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 952.86 = 458.04 : x
  2. Step 2: Convert to fraction form
    690.72/952.86 = 458.04/x
  3. Step 3: Cross multiply
    690.72x = 952.86 × 458.04
  4. Step 4: Simplify right side
    690.72x = 436,447.99
  5. Step 5: Solve for x
    x = 436,447.99/690.72
  6. Step 6: Final answer
    x = 631.87

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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.