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Finding the Fourth Proportional to 437.40, 656.64 and 409.32

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Solution

The fourth proportional to 437.40, 656.64 and 409.32 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 656.64 = 409.32 : x
  2. Step 2: Convert to fraction form
    437.40/656.64 = 409.32/x
  3. Step 3: Cross multiply
    437.40x = 656.64 × 409.32
  4. Step 4: Simplify right side
    437.40x = 268,775.88
  5. Step 5: Solve for x
    x = 268,775.88/437.40
  6. Step 6: Final answer
    x = 614.49

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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.