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Finding the Fourth Proportional to 468.88, 648.42 and 410.56

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Solution

The fourth proportional to 468.88, 648.42 and 410.56 is: 567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 648.42 = 410.56 : x
  2. Step 2: Convert to fraction form
    468.88/648.42 = 410.56/x
  3. Step 3: Cross multiply
    468.88x = 648.42 × 410.56
  4. Step 4: Simplify right side
    468.88x = 266,215.32
  5. Step 5: Solve for x
    x = 266,215.32/468.88
  6. Step 6: Final answer
    x = 567.77

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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.