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Finding the Fourth Proportional to 393.32, 589.86 and 316.10

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Solution

The fourth proportional to 393.32, 589.86 and 316.10 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.32 : 589.86 = 316.10 : x
  2. Step 2: Convert to fraction form
    393.32/589.86 = 316.10/x
  3. Step 3: Cross multiply
    393.32x = 589.86 × 316.10
  4. Step 4: Simplify right side
    393.32x = 186,454.75
  5. Step 5: Solve for x
    x = 186,454.75/393.32
  6. Step 6: Final answer
    x = 474.05

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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.