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Finding the Fourth Proportional to 862.32, 1,292.56 and 369

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Solution

The fourth proportional to 862.32, 1,292.56 and 369 is: 553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.32 : 1,292.56 = 369 : x
  2. Step 2: Convert to fraction form
    862.32/1,292.56 = 369/x
  3. Step 3: Cross multiply
    862.32x = 1,292.56 × 369
  4. Step 4: Simplify right side
    862.32x = 476,954.64
  5. Step 5: Solve for x
    x = 476,954.64/862.32
  6. Step 6: Final answer
    x = 553.11

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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.