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Finding the Fourth Proportional to 588.37, 883.47 and 584.14

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Solution

The fourth proportional to 588.37, 883.47 and 584.14 is: 877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 883.47 = 584.14 : x
  2. Step 2: Convert to fraction form
    588.37/883.47 = 584.14/x
  3. Step 3: Cross multiply
    588.37x = 883.47 × 584.14
  4. Step 4: Simplify right side
    588.37x = 516,070.17
  5. Step 5: Solve for x
    x = 516,070.17/588.37
  6. Step 6: Final answer
    x = 877.12

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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.