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Finding the Fourth Proportional to 425.89, 588.50 and 367.57

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Solution

The fourth proportional to 425.89, 588.50 and 367.57 is: 507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.89 : 588.50 = 367.57 : x
  2. Step 2: Convert to fraction form
    425.89/588.50 = 367.57/x
  3. Step 3: Cross multiply
    425.89x = 588.50 × 367.57
  4. Step 4: Simplify right side
    425.89x = 216,314.95
  5. Step 5: Solve for x
    x = 216,314.95/425.89
  6. Step 6: Final answer
    x = 507.91

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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.