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Finding the Fourth Proportional to 387.32, 580.16 and 322.20

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Solution

The fourth proportional to 387.32, 580.16 and 322.20 is: 482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.32 : 580.16 = 322.20 : x
  2. Step 2: Convert to fraction form
    387.32/580.16 = 322.20/x
  3. Step 3: Cross multiply
    387.32x = 580.16 × 322.20
  4. Step 4: Simplify right side
    387.32x = 186,927.55
  5. Step 5: Solve for x
    x = 186,927.55/387.32
  6. Step 6: Final answer
    x = 482.62

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Why These Related Problems?

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