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Finding the Fourth Proportional to 437.74, 602.10 and 362.54

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Solution

The fourth proportional to 437.74, 602.10 and 362.54 is: 498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.74 : 602.10 = 362.54 : x
  2. Step 2: Convert to fraction form
    437.74/602.10 = 362.54/x
  3. Step 3: Cross multiply
    437.74x = 602.10 × 362.54
  4. Step 4: Simplify right side
    437.74x = 218,285.33
  5. Step 5: Solve for x
    x = 218,285.33/437.74
  6. Step 6: Final answer
    x = 498.66

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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.