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Finding the Fourth Proportional to 425.38, 586.74 and 278.05

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Solution

The fourth proportional to 425.38, 586.74 and 278.05 is: 383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 586.74 = 278.05 : x
  2. Step 2: Convert to fraction form
    425.38/586.74 = 278.05/x
  3. Step 3: Cross multiply
    425.38x = 586.74 × 278.05
  4. Step 4: Simplify right side
    425.38x = 163,143.06
  5. Step 5: Solve for x
    x = 163,143.06/425.38
  6. Step 6: Final answer
    x = 383.52

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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.