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Finding the Fourth Proportional to 440.40, 664.14 and 437.52

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Solution

The fourth proportional to 440.40, 664.14 and 437.52 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 664.14 = 437.52 : x
  2. Step 2: Convert to fraction form
    440.40/664.14 = 437.52/x
  3. Step 3: Cross multiply
    440.40x = 664.14 × 437.52
  4. Step 4: Simplify right side
    440.40x = 290,574.53
  5. Step 5: Solve for x
    x = 290,574.53/440.40
  6. Step 6: Final answer
    x = 659.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.