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Finding the Fourth Proportional to 630.98, 870.84 and 382.46

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Solution

The fourth proportional to 630.98, 870.84 and 382.46 is: 527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.98 : 870.84 = 382.46 : x
  2. Step 2: Convert to fraction form
    630.98/870.84 = 382.46/x
  3. Step 3: Cross multiply
    630.98x = 870.84 × 382.46
  4. Step 4: Simplify right side
    630.98x = 333,061.47
  5. Step 5: Solve for x
    x = 333,061.47/630.98
  6. Step 6: Final answer
    x = 527.85

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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.