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Finding the Fourth Proportional to 630.68, 870.20 and 382.00

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Solution

The fourth proportional to 630.68, 870.20 and 382.00 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 870.20 = 382.00 : x
  2. Step 2: Convert to fraction form
    630.68/870.20 = 382.00/x
  3. Step 3: Cross multiply
    630.68x = 870.20 × 382.00
  4. Step 4: Simplify right side
    630.68x = 332,414.22
  5. Step 5: Solve for x
    x = 332,414.22/630.68
  6. Step 6: Final answer
    x = 527.07

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Why These Related Problems?

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