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Finding the Fourth Proportional to 630.46, 870.04 and 350.71

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Solution

The fourth proportional to 630.46, 870.04 and 350.71 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.46 : 870.04 = 350.71 : x
  2. Step 2: Convert to fraction form
    630.46/870.04 = 350.71/x
  3. Step 3: Cross multiply
    630.46x = 870.04 × 350.71
  4. Step 4: Simplify right side
    630.46x = 305,131.73
  5. Step 5: Solve for x
    x = 305,131.73/630.46
  6. Step 6: Final answer
    x = 483.99

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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.