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Finding the Fourth Proportional to 657.33, 984.47 and 471.75

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Solution

The fourth proportional to 657.33, 984.47 and 471.75 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.33 : 984.47 = 471.75 : x
  2. Step 2: Convert to fraction form
    657.33/984.47 = 471.75/x
  3. Step 3: Cross multiply
    657.33x = 984.47 × 471.75
  4. Step 4: Simplify right side
    657.33x = 464,424.90
  5. Step 5: Solve for x
    x = 464,424.90/657.33
  6. Step 6: Final answer
    x = 706.53

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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.