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Finding the Fourth Proportional to 571.60, 856.62 and 263.32

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Solution

The fourth proportional to 571.60, 856.62 and 263.32 is: 394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 856.62 = 263.32 : x
  2. Step 2: Convert to fraction form
    571.60/856.62 = 263.32/x
  3. Step 3: Cross multiply
    571.60x = 856.62 × 263.32
  4. Step 4: Simplify right side
    571.60x = 225,565.18
  5. Step 5: Solve for x
    x = 225,565.18/571.60
  6. Step 6: Final answer
    x = 394.62

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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.