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Finding the Fourth Proportional to 690.52, 952.86 and 457.72

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Solution

The fourth proportional to 690.52, 952.86 and 457.72 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 952.86 = 457.72 : x
  2. Step 2: Convert to fraction form
    690.52/952.86 = 457.72/x
  3. Step 3: Cross multiply
    690.52x = 952.86 × 457.72
  4. Step 4: Simplify right side
    690.52x = 436,143.08
  5. Step 5: Solve for x
    x = 436,143.08/690.52
  6. Step 6: Final answer
    x = 631.62

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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.