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Finding the Fourth Proportional to 630.76, 870.52 and 382.10

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Solution

The fourth proportional to 630.76, 870.52 and 382.10 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 870.52 = 382.10 : x
  2. Step 2: Convert to fraction form
    630.76/870.52 = 382.10/x
  3. Step 3: Cross multiply
    630.76x = 870.52 × 382.10
  4. Step 4: Simplify right side
    630.76x = 332,625.69
  5. Step 5: Solve for x
    x = 332,625.69/630.76
  6. Step 6: Final answer
    x = 527.34

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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.