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Finding the Fourth Proportional to 487, 671.97 and 290.56

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Solution

The fourth proportional to 487, 671.97 and 290.56 is: 400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 671.97 = 290.56 : x
  2. Step 2: Convert to fraction form
    487/671.97 = 290.56/x
  3. Step 3: Cross multiply
    487x = 671.97 × 290.56
  4. Step 4: Simplify right side
    487x = 195,247.60
  5. Step 5: Solve for x
    x = 195,247.60/487
  6. Step 6: Final answer
    x = 400.92

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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.