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Finding the Fourth Proportional to 342.32, 471.49 and 316.35

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Solution

The fourth proportional to 342.32, 471.49 and 316.35 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 471.49 = 316.35 : x
  2. Step 2: Convert to fraction form
    342.32/471.49 = 316.35/x
  3. Step 3: Cross multiply
    342.32x = 471.49 × 316.35
  4. Step 4: Simplify right side
    342.32x = 149,155.07
  5. Step 5: Solve for x
    x = 149,155.07/342.32
  6. Step 6: Final answer
    x = 435.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.