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Finding the Fourth Proportional to 694.34, 958.75 and 429.17

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Solution

The fourth proportional to 694.34, 958.75 and 429.17 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 958.75 = 429.17 : x
  2. Step 2: Convert to fraction form
    694.34/958.75 = 429.17/x
  3. Step 3: Cross multiply
    694.34x = 958.75 × 429.17
  4. Step 4: Simplify right side
    694.34x = 411,459.80
  5. Step 5: Solve for x
    x = 411,459.80/694.34
  6. Step 6: Final answer
    x = 592.59

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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.