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Finding the Fourth Proportional to 437.76, 657.24 and 274.96

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Solution

The fourth proportional to 437.76, 657.24 and 274.96 is: 412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.76 : 657.24 = 274.96 : x
  2. Step 2: Convert to fraction form
    437.76/657.24 = 274.96/x
  3. Step 3: Cross multiply
    437.76x = 657.24 × 274.96
  4. Step 4: Simplify right side
    437.76x = 180,714.71
  5. Step 5: Solve for x
    x = 180,714.71/437.76
  6. Step 6: Final answer
    x = 412.82

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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.