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Finding the Fourth Proportional to 924.91, 1,387.58 and 275.66

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Solution

The fourth proportional to 924.91, 1,387.58 and 275.66 is: 413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.91 : 1,387.58 = 275.66 : x
  2. Step 2: Convert to fraction form
    924.91/1,387.58 = 275.66/x
  3. Step 3: Cross multiply
    924.91x = 1,387.58 × 275.66
  4. Step 4: Simplify right side
    924.91x = 382,500.30
  5. Step 5: Solve for x
    x = 382,500.30/924.91
  6. Step 6: Final answer
    x = 413.55

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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.