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Finding the Fourth Proportional to 437.40, 655.84 and 177.52

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Solution

The fourth proportional to 437.40, 655.84 and 177.52 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 655.84 = 177.52 : x
  2. Step 2: Convert to fraction form
    437.40/655.84 = 177.52/x
  3. Step 3: Cross multiply
    437.40x = 655.84 × 177.52
  4. Step 4: Simplify right side
    437.40x = 116,424.72
  5. Step 5: Solve for x
    x = 116,424.72/437.40
  6. Step 6: Final answer
    x = 266.17

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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.