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Finding the Fourth Proportional to 487.07, 672.16 and 290.59

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Solution

The fourth proportional to 487.07, 672.16 and 290.59 is: 401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.07 : 672.16 = 290.59 : x
  2. Step 2: Convert to fraction form
    487.07/672.16 = 290.59/x
  3. Step 3: Cross multiply
    487.07x = 672.16 × 290.59
  4. Step 4: Simplify right side
    487.07x = 195,322.97
  5. Step 5: Solve for x
    x = 195,322.97/487.07
  6. Step 6: Final answer
    x = 401.02

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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.