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Finding the Fourth Proportional to 691.29, 953.33 and 429.39

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Solution

The fourth proportional to 691.29, 953.33 and 429.39 is: 592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.29 : 953.33 = 429.39 : x
  2. Step 2: Convert to fraction form
    691.29/953.33 = 429.39/x
  3. Step 3: Cross multiply
    691.29x = 953.33 × 429.39
  4. Step 4: Simplify right side
    691.29x = 409,348.22
  5. Step 5: Solve for x
    x = 409,348.22/691.29
  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.