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Finding the Fourth Proportional to 571.24, 856.16 and 310.86

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Solution

The fourth proportional to 571.24, 856.16 and 310.86 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 856.16 = 310.86 : x
  2. Step 2: Convert to fraction form
    571.24/856.16 = 310.86/x
  3. Step 3: Cross multiply
    571.24x = 856.16 × 310.86
  4. Step 4: Simplify right side
    571.24x = 266,145.90
  5. Step 5: Solve for x
    x = 266,145.90/571.24
  6. Step 6: Final answer
    x = 465.91

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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.