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Finding the Fourth Proportional to 924.72, 1,387.28 and 308.40

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Solution

The fourth proportional to 924.72, 1,387.28 and 308.40 is: 462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,387.28 = 308.40 : x
  2. Step 2: Convert to fraction form
    924.72/1,387.28 = 308.40/x
  3. Step 3: Cross multiply
    924.72x = 1,387.28 × 308.40
  4. Step 4: Simplify right side
    924.72x = 427,837.15
  5. Step 5: Solve for x
    x = 427,837.15/924.72
  6. Step 6: Final answer
    x = 462.67

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Why These Related Problems?

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