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Finding the Fourth Proportional to 571.64, 856.82 and 242.48

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Solution

The fourth proportional to 571.64, 856.82 and 242.48 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 856.82 = 242.48 : x
  2. Step 2: Convert to fraction form
    571.64/856.82 = 242.48/x
  3. Step 3: Cross multiply
    571.64x = 856.82 × 242.48
  4. Step 4: Simplify right side
    571.64x = 207,761.71
  5. Step 5: Solve for x
    x = 207,761.71/571.64
  6. Step 6: Final answer
    x = 363.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.