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Finding the Fourth Proportional to 694.57, 958.56 and 429.07

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Solution

The fourth proportional to 694.57, 958.56 and 429.07 is: 592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.57 : 958.56 = 429.07 : x
  2. Step 2: Convert to fraction form
    694.57/958.56 = 429.07/x
  3. Step 3: Cross multiply
    694.57x = 958.56 × 429.07
  4. Step 4: Simplify right side
    694.57x = 411,289.34
  5. Step 5: Solve for x
    x = 411,289.34/694.57
  6. Step 6: Final answer
    x = 592.15

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1.5x scale

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.