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Finding the Fourth Proportional to 924.44, 1,385.68 and 307.56

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Solution

The fourth proportional to 924.44, 1,385.68 and 307.56 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.44 : 1,385.68 = 307.56 : x
  2. Step 2: Convert to fraction form
    924.44/1,385.68 = 307.56/x
  3. Step 3: Cross multiply
    924.44x = 1,385.68 × 307.56
  4. Step 4: Simplify right side
    924.44x = 426,179.74
  5. Step 5: Solve for x
    x = 426,179.74/924.44
  6. Step 6: Final answer
    x = 461.01

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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.