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Finding the Fourth Proportional to 924.06, 1,386.11 and 299.47

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Solution

The fourth proportional to 924.06, 1,386.11 and 299.47 is: 449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.06 : 1,386.11 = 299.47 : x
  2. Step 2: Convert to fraction form
    924.06/1,386.11 = 299.47/x
  3. Step 3: Cross multiply
    924.06x = 1,386.11 × 299.47
  4. Step 4: Simplify right side
    924.06x = 415,098.36
  5. Step 5: Solve for x
    x = 415,098.36/924.06
  6. Step 6: Final answer
    x = 449.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.