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Finding the Fourth Proportional to 571.62, 856.16 and 434.72

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Solution

The fourth proportional to 571.62, 856.16 and 434.72 is: 651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 856.16 = 434.72 : x
  2. Step 2: Convert to fraction form
    571.62/856.16 = 434.72/x
  3. Step 3: Cross multiply
    571.62x = 856.16 × 434.72
  4. Step 4: Simplify right side
    571.62x = 372,189.88
  5. Step 5: Solve for x
    x = 372,189.88/571.62
  6. Step 6: Final answer
    x = 651.11

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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.