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Finding the Fourth Proportional to 425.59, 587.30 and 266.04

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Solution

The fourth proportional to 425.59, 587.30 and 266.04 is: 367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.59 : 587.30 = 266.04 : x
  2. Step 2: Convert to fraction form
    425.59/587.30 = 266.04/x
  3. Step 3: Cross multiply
    425.59x = 587.30 × 266.04
  4. Step 4: Simplify right side
    425.59x = 156,243.96
  5. Step 5: Solve for x
    x = 156,243.96/425.59
  6. Step 6: Final answer
    x = 367.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.