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Finding the Fourth Proportional to 468.76, 647.10 and 444.52

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Solution

The fourth proportional to 468.76, 647.10 and 444.52 is: 613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 647.10 = 444.52 : x
  2. Step 2: Convert to fraction form
    468.76/647.10 = 444.52/x
  3. Step 3: Cross multiply
    468.76x = 647.10 × 444.52
  4. Step 4: Simplify right side
    468.76x = 287,648.89
  5. Step 5: Solve for x
    x = 287,648.89/468.76
  6. Step 6: Final answer
    x = 613.64

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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.