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Finding the Fourth Proportional to 575.28, 863.53 and 471.33

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Solution

The fourth proportional to 575.28, 863.53 and 471.33 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.28 : 863.53 = 471.33 : x
  2. Step 2: Convert to fraction form
    575.28/863.53 = 471.33/x
  3. Step 3: Cross multiply
    575.28x = 863.53 × 471.33
  4. Step 4: Simplify right side
    575.28x = 407,006.42
  5. Step 5: Solve for x
    x = 407,006.42/575.28
  6. Step 6: Final answer
    x = 707.49

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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.