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Finding the Fourth Proportional to 571.68, 856.80 and 378.72

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Solution

The fourth proportional to 571.68, 856.80 and 378.72 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 856.80 = 378.72 : x
  2. Step 2: Convert to fraction form
    571.68/856.80 = 378.72/x
  3. Step 3: Cross multiply
    571.68x = 856.80 × 378.72
  4. Step 4: Simplify right side
    571.68x = 324,487.30
  5. Step 5: Solve for x
    x = 324,487.30/571.68
  6. Step 6: Final answer
    x = 567.60

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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.