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Finding the Fourth Proportional to 632.70, 873.18 and 370.80

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Solution

The fourth proportional to 632.70, 873.18 and 370.80 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 873.18 = 370.80 : x
  2. Step 2: Convert to fraction form
    632.70/873.18 = 370.80/x
  3. Step 3: Cross multiply
    632.70x = 873.18 × 370.80
  4. Step 4: Simplify right side
    632.70x = 323,775.14
  5. Step 5: Solve for x
    x = 323,775.14/632.70
  6. Step 6: Final answer
    x = 511.74

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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.