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Finding the Fourth Proportional to 592.19, 888.91 and 284.30

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Solution

The fourth proportional to 592.19, 888.91 and 284.30 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.19 : 888.91 = 284.30 : x
  2. Step 2: Convert to fraction form
    592.19/888.91 = 284.30/x
  3. Step 3: Cross multiply
    592.19x = 888.91 × 284.30
  4. Step 4: Simplify right side
    592.19x = 252,717.11
  5. Step 5: Solve for x
    x = 252,717.11/592.19
  6. Step 6: Final answer
    x = 426.75

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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.