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Finding the Fourth Proportional to 437.19, 655.41 and 176.91

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Solution

The fourth proportional to 437.19, 655.41 and 176.91 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.19 : 655.41 = 176.91 : x
  2. Step 2: Convert to fraction form
    437.19/655.41 = 176.91/x
  3. Step 3: Cross multiply
    437.19x = 655.41 × 176.91
  4. Step 4: Simplify right side
    437.19x = 115,948.58
  5. Step 5: Solve for x
    x = 115,948.58/437.19
  6. Step 6: Final answer
    x = 265.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.