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Finding the Fourth Proportional to 460.03, 634.66 and 273.45

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Solution

The fourth proportional to 460.03, 634.66 and 273.45 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.03 : 634.66 = 273.45 : x
  2. Step 2: Convert to fraction form
    460.03/634.66 = 273.45/x
  3. Step 3: Cross multiply
    460.03x = 634.66 × 273.45
  4. Step 4: Simplify right side
    460.03x = 173,547.78
  5. Step 5: Solve for x
    x = 173,547.78/460.03
  6. Step 6: Final answer
    x = 377.25

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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.