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Finding the Fourth Proportional to 588.65, 883.25 and 578.93

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Solution

The fourth proportional to 588.65, 883.25 and 578.93 is: 868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 883.25 = 578.93 : x
  2. Step 2: Convert to fraction form
    588.65/883.25 = 578.93/x
  3. Step 3: Cross multiply
    588.65x = 883.25 × 578.93
  4. Step 4: Simplify right side
    588.65x = 511,337.03
  5. Step 5: Solve for x
    x = 511,337.03/588.65
  6. Step 6: Final answer
    x = 868.66

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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.