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Finding the Fourth Proportional to 592.72, 884.84 and 588.64

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Solution

The fourth proportional to 592.72, 884.84 and 588.64 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.72 : 884.84 = 588.64 : x
  2. Step 2: Convert to fraction form
    592.72/884.84 = 588.64/x
  3. Step 3: Cross multiply
    592.72x = 884.84 × 588.64
  4. Step 4: Simplify right side
    592.72x = 520,852.22
  5. Step 5: Solve for x
    x = 520,852.22/592.72
  6. Step 6: Final answer
    x = 878.75

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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.