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Finding the Fourth Proportional to 437.74, 652.74 and 377.26

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Solution

The fourth proportional to 437.74, 652.74 and 377.26 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.74 : 652.74 = 377.26 : x
  2. Step 2: Convert to fraction form
    437.74/652.74 = 377.26/x
  3. Step 3: Cross multiply
    437.74x = 652.74 × 377.26
  4. Step 4: Simplify right side
    437.74x = 246,252.69
  5. Step 5: Solve for x
    x = 246,252.69/437.74
  6. Step 6: Final answer
    x = 562.55

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