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Finding the Fourth Proportional to 571.02, 856.17 and 314.70

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Solution

The fourth proportional to 571.02, 856.17 and 314.70 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.02 : 856.17 = 314.70 : x
  2. Step 2: Convert to fraction form
    571.02/856.17 = 314.70/x
  3. Step 3: Cross multiply
    571.02x = 856.17 × 314.70
  4. Step 4: Simplify right side
    571.02x = 269,436.70
  5. Step 5: Solve for x
    x = 269,436.70/571.02
  6. Step 6: Final answer
    x = 471.85

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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.