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Finding the Fourth Proportional to 691.12, 953.13 and 429.22

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Solution

The fourth proportional to 691.12, 953.13 and 429.22 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.12 : 953.13 = 429.22 : x
  2. Step 2: Convert to fraction form
    691.12/953.13 = 429.22/x
  3. Step 3: Cross multiply
    691.12x = 953.13 × 429.22
  4. Step 4: Simplify right side
    691.12x = 409,102.46
  5. Step 5: Solve for x
    x = 409,102.46/691.12
  6. Step 6: Final answer
    x = 591.94

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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.