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Finding the Fourth Proportional to 647.22, 970.65 and 282.18

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Solution

The fourth proportional to 647.22, 970.65 and 282.18 is: 423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.22 : 970.65 = 282.18 : x
  2. Step 2: Convert to fraction form
    647.22/970.65 = 282.18/x
  3. Step 3: Cross multiply
    647.22x = 970.65 × 282.18
  4. Step 4: Simplify right side
    647.22x = 273,898.02
  5. Step 5: Solve for x
    x = 273,898.02/647.22
  6. Step 6: Final answer
    x = 423.19

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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.