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Finding the Fourth Proportional to 487.63, 672.93 and 301.11

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Solution

The fourth proportional to 487.63, 672.93 and 301.11 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.63 : 672.93 = 301.11 : x
  2. Step 2: Convert to fraction form
    487.63/672.93 = 301.11/x
  3. Step 3: Cross multiply
    487.63x = 672.93 × 301.11
  4. Step 4: Simplify right side
    487.63x = 202,625.95
  5. Step 5: Solve for x
    x = 202,625.95/487.63
  6. Step 6: Final answer
    x = 415.53

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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.