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Finding the Fourth Proportional to 484.19, 725.51 and 471.38

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Solution

The fourth proportional to 484.19, 725.51 and 471.38 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.19 : 725.51 = 471.38 : x
  2. Step 2: Convert to fraction form
    484.19/725.51 = 471.38/x
  3. Step 3: Cross multiply
    484.19x = 725.51 × 471.38
  4. Step 4: Simplify right side
    484.19x = 341,988.45
  5. Step 5: Solve for x
    x = 341,988.45/484.19
  6. Step 6: Final answer
    x = 706.31

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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.