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Finding the Fourth Proportional to 437.22, 602.66 and 401.47

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Solution

The fourth proportional to 437.22, 602.66 and 401.47 is: 553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.22 : 602.66 = 401.47 : x
  2. Step 2: Convert to fraction form
    437.22/602.66 = 401.47/x
  3. Step 3: Cross multiply
    437.22x = 602.66 × 401.47
  4. Step 4: Simplify right side
    437.22x = 241,949.41
  5. Step 5: Solve for x
    x = 241,949.41/437.22
  6. Step 6: Final answer
    x = 553.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.