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Finding the Fourth Proportional to 842.32, 1,263.48 and 355.28

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Solution

The fourth proportional to 842.32, 1,263.48 and 355.28 is: 532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.32 : 1,263.48 = 355.28 : x
  2. Step 2: Convert to fraction form
    842.32/1,263.48 = 355.28/x
  3. Step 3: Cross multiply
    842.32x = 1,263.48 × 355.28
  4. Step 4: Simplify right side
    842.32x = 448,889.17
  5. Step 5: Solve for x
    x = 448,889.17/842.32
  6. Step 6: Final answer
    x = 532.92

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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.