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Finding the Fourth Proportional to 575.21, 862.81 and 473.75

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Solution

The fourth proportional to 575.21, 862.81 and 473.75 is: 710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.21 : 862.81 = 473.75 : x
  2. Step 2: Convert to fraction form
    575.21/862.81 = 473.75/x
  3. Step 3: Cross multiply
    575.21x = 862.81 × 473.75
  4. Step 4: Simplify right side
    575.21x = 408,756.24
  5. Step 5: Solve for x
    x = 408,756.24/575.21
  6. Step 6: Final answer
    x = 710.63

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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.