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Finding the Fourth Proportional to 632.08, 872.10 and 370.06

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Solution

The fourth proportional to 632.08, 872.10 and 370.06 is: 510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.08 : 872.10 = 370.06 : x
  2. Step 2: Convert to fraction form
    632.08/872.10 = 370.06/x
  3. Step 3: Cross multiply
    632.08x = 872.10 × 370.06
  4. Step 4: Simplify right side
    632.08x = 322,729.33
  5. Step 5: Solve for x
    x = 322,729.33/632.08
  6. Step 6: Final answer
    x = 510.58

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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.