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Finding the Fourth Proportional to 924.76, 1,387.30 and 275.56

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Solution

The fourth proportional to 924.76, 1,387.30 and 275.56 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.76 : 1,387.30 = 275.56 : x
  2. Step 2: Convert to fraction form
    924.76/1,387.30 = 275.56/x
  3. Step 3: Cross multiply
    924.76x = 1,387.30 × 275.56
  4. Step 4: Simplify right side
    924.76x = 382,284.39
  5. Step 5: Solve for x
    x = 382,284.39/924.76
  6. Step 6: Final answer
    x = 413.39

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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.