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Finding the Fourth Proportional to 471.70, 707.17 and 215.02

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Solution

The fourth proportional to 471.70, 707.17 and 215.02 is: 322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.70 : 707.17 = 215.02 : x
  2. Step 2: Convert to fraction form
    471.70/707.17 = 215.02/x
  3. Step 3: Cross multiply
    471.70x = 707.17 × 215.02
  4. Step 4: Simplify right side
    471.70x = 152,055.69
  5. Step 5: Solve for x
    x = 152,055.69/471.70
  6. Step 6: Final answer
    x = 322.36

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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.