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Finding the Fourth Proportional to 592.65, 888.63 and 397.88

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Solution

The fourth proportional to 592.65, 888.63 and 397.88 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.65 : 888.63 = 397.88 : x
  2. Step 2: Convert to fraction form
    592.65/888.63 = 397.88/x
  3. Step 3: Cross multiply
    592.65x = 888.63 × 397.88
  4. Step 4: Simplify right side
    592.65x = 353,568.10
  5. Step 5: Solve for x
    x = 353,568.10/592.65
  6. Step 6: Final answer
    x = 596.59

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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.