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Finding the Fourth Proportional to 595.26, 892.80 and 266.13

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Solution

The fourth proportional to 595.26, 892.80 and 266.13 is: 399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.26 : 892.80 = 266.13 : x
  2. Step 2: Convert to fraction form
    595.26/892.80 = 266.13/x
  3. Step 3: Cross multiply
    595.26x = 892.80 × 266.13
  4. Step 4: Simplify right side
    595.26x = 237,600.86
  5. Step 5: Solve for x
    x = 237,600.86/595.26
  6. Step 6: Final answer
    x = 399.15

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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.