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Finding the Fourth Proportional to 690.76, 952.50 and 457.48

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Solution

The fourth proportional to 690.76, 952.50 and 457.48 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 952.50 = 457.48 : x
  2. Step 2: Convert to fraction form
    690.76/952.50 = 457.48/x
  3. Step 3: Cross multiply
    690.76x = 952.50 × 457.48
  4. Step 4: Simplify right side
    690.76x = 435,749.70
  5. Step 5: Solve for x
    x = 435,749.70/690.76
  6. Step 6: Final answer
    x = 630.83

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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.