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Finding the Fourth Proportional to 316.32, 475.56 and 292.56

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Solution

The fourth proportional to 316.32, 475.56 and 292.56 is: 439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.32 : 475.56 = 292.56 : x
  2. Step 2: Convert to fraction form
    316.32/475.56 = 292.56/x
  3. Step 3: Cross multiply
    316.32x = 475.56 × 292.56
  4. Step 4: Simplify right side
    316.32x = 139,129.83
  5. Step 5: Solve for x
    x = 139,129.83/316.32
  6. Step 6: Final answer
    x = 439.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.