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Finding the Fourth Proportional to 437.22, 652.41 and 398.34

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Solution

The fourth proportional to 437.22, 652.41 and 398.34 is: 594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.22 : 652.41 = 398.34 : x
  2. Step 2: Convert to fraction form
    437.22/652.41 = 398.34/x
  3. Step 3: Cross multiply
    437.22x = 652.41 × 398.34
  4. Step 4: Simplify right side
    437.22x = 259,881.00
  5. Step 5: Solve for x
    x = 259,881.00/437.22
  6. Step 6: Final answer
    x = 594.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.