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Finding the Fourth Proportional to 425.12, 586.85 and 275.81

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Solution

The fourth proportional to 425.12, 586.85 and 275.81 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.12 : 586.85 = 275.81 : x
  2. Step 2: Convert to fraction form
    425.12/586.85 = 275.81/x
  3. Step 3: Cross multiply
    425.12x = 586.85 × 275.81
  4. Step 4: Simplify right side
    425.12x = 161,854.79
  5. Step 5: Solve for x
    x = 161,854.79/425.12
  6. Step 6: Final answer
    x = 380.73

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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.