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Finding the Fourth Proportional to 647.38, 970.88 and 282.08

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Solution

The fourth proportional to 647.38, 970.88 and 282.08 is: 423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 970.88 = 282.08 : x
  2. Step 2: Convert to fraction form
    647.38/970.88 = 282.08/x
  3. Step 3: Cross multiply
    647.38x = 970.88 × 282.08
  4. Step 4: Simplify right side
    647.38x = 273,865.83
  5. Step 5: Solve for x
    x = 273,865.83/647.38
  6. Step 6: Final answer
    x = 423.04

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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.