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Finding the Fourth Proportional to 571.68, 856.68 and 416.70

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Solution

The fourth proportional to 571.68, 856.68 and 416.70 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.68 : 856.68 = 416.70 : x
  2. Step 2: Convert to fraction form
    571.68/856.68 = 416.70/x
  3. Step 3: Cross multiply
    571.68x = 856.68 × 416.70
  4. Step 4: Simplify right side
    571.68x = 356,978.56
  5. Step 5: Solve for x
    x = 356,978.56/571.68
  6. Step 6: Final answer
    x = 624.44

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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.