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Finding the Fourth Proportional to 437.60, 659.08 and 400.12

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Solution

The fourth proportional to 437.60, 659.08 and 400.12 is: 602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.60 : 659.08 = 400.12 : x
  2. Step 2: Convert to fraction form
    437.60/659.08 = 400.12/x
  3. Step 3: Cross multiply
    437.60x = 659.08 × 400.12
  4. Step 4: Simplify right side
    437.60x = 263,711.09
  5. Step 5: Solve for x
    x = 263,711.09/437.60
  6. Step 6: Final answer
    x = 602.63

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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.