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Finding the Fourth Proportional to 595.88, 892.62 and 410.20

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Solution

The fourth proportional to 595.88, 892.62 and 410.20 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.88 : 892.62 = 410.20 : x
  2. Step 2: Convert to fraction form
    595.88/892.62 = 410.20/x
  3. Step 3: Cross multiply
    595.88x = 892.62 × 410.20
  4. Step 4: Simplify right side
    595.88x = 366,152.72
  5. Step 5: Solve for x
    x = 366,152.72/595.88
  6. Step 6: Final answer
    x = 614.47

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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.