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Finding the Fourth Proportional to 924.57, 1,386.90 and 275.36

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Solution

The fourth proportional to 924.57, 1,386.90 and 275.36 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,386.90 = 275.36 : x
  2. Step 2: Convert to fraction form
    924.57/1,386.90 = 275.36/x
  3. Step 3: Cross multiply
    924.57x = 1,386.90 × 275.36
  4. Step 4: Simplify right side
    924.57x = 381,889.85
  5. Step 5: Solve for x
    x = 381,889.85/924.57
  6. Step 6: Final answer
    x = 413.05

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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.