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Finding the Fourth Proportional to 410, 615 and 282.56

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Solution

The fourth proportional to 410, 615 and 282.56 is: 423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 615 = 282.56 : x
  2. Step 2: Convert to fraction form
    410/615 = 282.56/x
  3. Step 3: Cross multiply
    410x = 615 × 282.56
  4. Step 4: Simplify right side
    410x = 173,774.40
  5. Step 5: Solve for x
    x = 173,774.40/410
  6. Step 6: Final answer
    x = 423.84

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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.