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Finding the Fourth Proportional to 437.74, 655.26 and 307.13

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Solution

The fourth proportional to 437.74, 655.26 and 307.13 is: 459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.74 : 655.26 = 307.13 : x
  2. Step 2: Convert to fraction form
    437.74/655.26 = 307.13/x
  3. Step 3: Cross multiply
    437.74x = 655.26 × 307.13
  4. Step 4: Simplify right side
    437.74x = 201,245.58
  5. Step 5: Solve for x
    x = 201,245.58/437.74
  6. Step 6: Final answer
    x = 459.74

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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.