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Finding the Fourth Proportional to 924.75, 1,386.59 and 308.12

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Solution

The fourth proportional to 924.75, 1,386.59 and 308.12 is: 461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,386.59 = 308.12 : x
  2. Step 2: Convert to fraction form
    924.75/1,386.59 = 308.12/x
  3. Step 3: Cross multiply
    924.75x = 1,386.59 × 308.12
  4. Step 4: Simplify right side
    924.75x = 427,227.64
  5. Step 5: Solve for x
    x = 427,227.64/924.75
  6. Step 6: Final answer
    x = 461.99

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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.