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Finding the Fourth Proportional to 694.60, 958.71 and 458.59

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Solution

The fourth proportional to 694.60, 958.71 and 458.59 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.60 : 958.71 = 458.59 : x
  2. Step 2: Convert to fraction form
    694.60/958.71 = 458.59/x
  3. Step 3: Cross multiply
    694.60x = 958.71 × 458.59
  4. Step 4: Simplify right side
    694.60x = 439,654.82
  5. Step 5: Solve for x
    x = 439,654.82/694.60
  6. Step 6: Final answer
    x = 632.96

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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.