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Finding the Fourth Proportional to 592.65, 888.26 and 397.64

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Solution

The fourth proportional to 592.65, 888.26 and 397.64 is: 595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.65 : 888.26 = 397.64 : x
  2. Step 2: Convert to fraction form
    592.65/888.26 = 397.64/x
  3. Step 3: Cross multiply
    592.65x = 888.26 × 397.64
  4. Step 4: Simplify right side
    592.65x = 353,207.94
  5. Step 5: Solve for x
    x = 353,207.94/592.65
  6. Step 6: Final answer
    x = 595.98

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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.