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Finding the Fourth Proportional to 588.87, 877.50 and 572.16

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Solution

The fourth proportional to 588.87, 877.50 and 572.16 is: 852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 877.50 = 572.16 : x
  2. Step 2: Convert to fraction form
    588.87/877.50 = 572.16/x
  3. Step 3: Cross multiply
    588.87x = 877.50 × 572.16
  4. Step 4: Simplify right side
    588.87x = 502,070.40
  5. Step 5: Solve for x
    x = 502,070.40/588.87
  6. Step 6: Final answer
    x = 852.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.