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Finding the Fourth Proportional to 437.07, 655.38 and 176.88

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Solution

The fourth proportional to 437.07, 655.38 and 176.88 is: 265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.07 : 655.38 = 176.88 : x
  2. Step 2: Convert to fraction form
    437.07/655.38 = 176.88/x
  3. Step 3: Cross multiply
    437.07x = 655.38 × 176.88
  4. Step 4: Simplify right side
    437.07x = 115,923.61
  5. Step 5: Solve for x
    x = 115,923.61/437.07
  6. Step 6: Final answer
    x = 265.23

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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.