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Finding the Fourth Proportional to 425.11, 586.02 and 284.98

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Solution

The fourth proportional to 425.11, 586.02 and 284.98 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.11 : 586.02 = 284.98 : x
  2. Step 2: Convert to fraction form
    425.11/586.02 = 284.98/x
  3. Step 3: Cross multiply
    425.11x = 586.02 × 284.98
  4. Step 4: Simplify right side
    425.11x = 167,003.98
  5. Step 5: Solve for x
    x = 167,003.98/425.11
  6. Step 6: Final answer
    x = 392.85

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