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Finding the Fourth Proportional to 424.18, 584.76 and 325.78

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Solution

The fourth proportional to 424.18, 584.76 and 325.78 is: 449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.18 : 584.76 = 325.78 : x
  2. Step 2: Convert to fraction form
    424.18/584.76 = 325.78/x
  3. Step 3: Cross multiply
    424.18x = 584.76 × 325.78
  4. Step 4: Simplify right side
    424.18x = 190,503.11
  5. Step 5: Solve for x
    x = 190,503.11/424.18
  6. Step 6: Final answer
    x = 449.11

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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.