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Finding the Fourth Proportional to 630.56, 870.14 and 350.78

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Solution

The fourth proportional to 630.56, 870.14 and 350.78 is: 484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.56 : 870.14 = 350.78 : x
  2. Step 2: Convert to fraction form
    630.56/870.14 = 350.78/x
  3. Step 3: Cross multiply
    630.56x = 870.14 × 350.78
  4. Step 4: Simplify right side
    630.56x = 305,227.71
  5. Step 5: Solve for x
    x = 305,227.71/630.56
  6. Step 6: Final answer
    x = 484.06

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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.