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Finding the Fourth Proportional to 663.16, 995.28 and 471.28

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Solution

The fourth proportional to 663.16, 995.28 and 471.28 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 995.28 = 471.28 : x
  2. Step 2: Convert to fraction form
    663.16/995.28 = 471.28/x
  3. Step 3: Cross multiply
    663.16x = 995.28 × 471.28
  4. Step 4: Simplify right side
    663.16x = 469,055.56
  5. Step 5: Solve for x
    x = 469,055.56/663.16
  6. Step 6: Final answer
    x = 707.30

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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.