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Finding the Fourth Proportional to 588.12, 880.95 and 571.11

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Solution

The fourth proportional to 588.12, 880.95 and 571.11 is: 855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 880.95 = 571.11 : x
  2. Step 2: Convert to fraction form
    588.12/880.95 = 571.11/x
  3. Step 3: Cross multiply
    588.12x = 880.95 × 571.11
  4. Step 4: Simplify right side
    588.12x = 503,119.35
  5. Step 5: Solve for x
    x = 503,119.35/588.12
  6. Step 6: Final answer
    x = 855.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.