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Finding the Fourth Proportional to 424.29, 584.91 and 299.58

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Solution

The fourth proportional to 424.29, 584.91 and 299.58 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.29 : 584.91 = 299.58 : x
  2. Step 2: Convert to fraction form
    424.29/584.91 = 299.58/x
  3. Step 3: Cross multiply
    424.29x = 584.91 × 299.58
  4. Step 4: Simplify right side
    424.29x = 175,227.34
  5. Step 5: Solve for x
    x = 175,227.34/424.29
  6. Step 6: Final answer
    x = 412.99

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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.