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Finding the Fourth Proportional to 474.49, 710.64 and 282.25

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Solution

The fourth proportional to 474.49, 710.64 and 282.25 is: 422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.49 : 710.64 = 282.25 : x
  2. Step 2: Convert to fraction form
    474.49/710.64 = 282.25/x
  3. Step 3: Cross multiply
    474.49x = 710.64 × 282.25
  4. Step 4: Simplify right side
    474.49x = 200,576.36
  5. Step 5: Solve for x
    x = 200,576.36/474.49
  6. Step 6: Final answer
    x = 422.72

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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.