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Finding the Fourth Proportional to 738.32, 1,106.84 and 282

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Solution

The fourth proportional to 738.32, 1,106.84 and 282 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.32 : 1,106.84 = 282 : x
  2. Step 2: Convert to fraction form
    738.32/1,106.84 = 282/x
  3. Step 3: Cross multiply
    738.32x = 1,106.84 × 282
  4. Step 4: Simplify right side
    738.32x = 312,128.88
  5. Step 5: Solve for x
    x = 312,128.88/738.32
  6. Step 6: Final answer
    x = 422.76

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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.