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Finding the Fourth Proportional to 437.65, 656.32 and 177.59

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Solution

The fourth proportional to 437.65, 656.32 and 177.59 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.65 : 656.32 = 177.59 : x
  2. Step 2: Convert to fraction form
    437.65/656.32 = 177.59/x
  3. Step 3: Cross multiply
    437.65x = 656.32 × 177.59
  4. Step 4: Simplify right side
    437.65x = 116,555.87
  5. Step 5: Solve for x
    x = 116,555.87/437.65
  6. Step 6: Final answer
    x = 266.32

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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.