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Finding the Fourth Proportional to 924.73, 1,387.08 and 275.41

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Solution

The fourth proportional to 924.73, 1,387.08 and 275.41 is: 413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.73 : 1,387.08 = 275.41 : x
  2. Step 2: Convert to fraction form
    924.73/1,387.08 = 275.41/x
  3. Step 3: Cross multiply
    924.73x = 1,387.08 × 275.41
  4. Step 4: Simplify right side
    924.73x = 382,015.70
  5. Step 5: Solve for x
    x = 382,015.70/924.73
  6. Step 6: Final answer
    x = 413.11

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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.