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Finding the Fourth Proportional to 924.47, 1,386.54 and 308.11

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Solution

The fourth proportional to 924.47, 1,386.54 and 308.11 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.47 : 1,386.54 = 308.11 : x
  2. Step 2: Convert to fraction form
    924.47/1,386.54 = 308.11/x
  3. Step 3: Cross multiply
    924.47x = 1,386.54 × 308.11
  4. Step 4: Simplify right side
    924.47x = 427,199.91
  5. Step 5: Solve for x
    x = 427,199.91/924.47
  6. Step 6: Final answer
    x = 462.11

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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.