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Finding the Fourth Proportional to 461.74, 637.07 and 438.66

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Solution

The fourth proportional to 461.74, 637.07 and 438.66 is: 605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.74 : 637.07 = 438.66 : x
  2. Step 2: Convert to fraction form
    461.74/637.07 = 438.66/x
  3. Step 3: Cross multiply
    461.74x = 637.07 × 438.66
  4. Step 4: Simplify right side
    461.74x = 279,457.13
  5. Step 5: Solve for x
    x = 279,457.13/461.74
  6. Step 6: Final answer
    x = 605.23

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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.