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Finding the Fourth Proportional to 468.98, 701.76 and 404.74

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Solution

The fourth proportional to 468.98, 701.76 and 404.74 is: 605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 701.76 = 404.74 : x
  2. Step 2: Convert to fraction form
    468.98/701.76 = 404.74/x
  3. Step 3: Cross multiply
    468.98x = 701.76 × 404.74
  4. Step 4: Simplify right side
    468.98x = 284,026.83
  5. Step 5: Solve for x
    x = 284,026.83/468.98
  6. Step 6: Final answer
    x = 605.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.