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Finding the Fourth Proportional to 632.07, 872.25 and 370.02

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Solution

The fourth proportional to 632.07, 872.25 and 370.02 is: 510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 872.25 = 370.02 : x
  2. Step 2: Convert to fraction form
    632.07/872.25 = 370.02/x
  3. Step 3: Cross multiply
    632.07x = 872.25 × 370.02
  4. Step 4: Simplify right side
    632.07x = 322,749.95
  5. Step 5: Solve for x
    x = 322,749.95/632.07
  6. Step 6: Final answer
    x = 510.62

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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.