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Finding the Fourth Proportional to 691.28, 953.97 and 429.30

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Solution

The fourth proportional to 691.28, 953.97 and 429.30 is: 592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.28 : 953.97 = 429.30 : x
  2. Step 2: Convert to fraction form
    691.28/953.97 = 429.30/x
  3. Step 3: Cross multiply
    691.28x = 953.97 × 429.30
  4. Step 4: Simplify right side
    691.28x = 409,535.86
  5. Step 5: Solve for x
    x = 409,535.86/691.28
  6. Step 6: Final answer
    x = 592.43

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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.