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Finding the Fourth Proportional to 487.63, 672.95 and 291.16

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Solution

The fourth proportional to 487.63, 672.95 and 291.16 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.63 : 672.95 = 291.16 : x
  2. Step 2: Convert to fraction form
    487.63/672.95 = 291.16/x
  3. Step 3: Cross multiply
    487.63x = 672.95 × 291.16
  4. Step 4: Simplify right side
    487.63x = 195,936.12
  5. Step 5: Solve for x
    x = 195,936.12/487.63
  6. Step 6: Final answer
    x = 401.81

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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.