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Finding the Fourth Proportional to 380.79, 525.15 and 315.18

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Solution

The fourth proportional to 380.79, 525.15 and 315.18 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.79 : 525.15 = 315.18 : x
  2. Step 2: Convert to fraction form
    380.79/525.15 = 315.18/x
  3. Step 3: Cross multiply
    380.79x = 525.15 × 315.18
  4. Step 4: Simplify right side
    380.79x = 165,516.78
  5. Step 5: Solve for x
    x = 165,516.78/380.79
  6. Step 6: Final answer
    x = 434.67

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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.