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Finding the Fourth Proportional to 387.64, 580.53 and 315.34

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Solution

The fourth proportional to 387.64, 580.53 and 315.34 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.64 : 580.53 = 315.34 : x
  2. Step 2: Convert to fraction form
    387.64/580.53 = 315.34/x
  3. Step 3: Cross multiply
    387.64x = 580.53 × 315.34
  4. Step 4: Simplify right side
    387.64x = 183,061.43
  5. Step 5: Solve for x
    x = 183,061.43/387.64
  6. Step 6: Final answer
    x = 472.25

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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.