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Finding the Fourth Proportional to 468.61, 701.65 and 251.53

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Solution

The fourth proportional to 468.61, 701.65 and 251.53 is: 376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.61 : 701.65 = 251.53 : x
  2. Step 2: Convert to fraction form
    468.61/701.65 = 251.53/x
  3. Step 3: Cross multiply
    468.61x = 701.65 × 251.53
  4. Step 4: Simplify right side
    468.61x = 176,486.02
  5. Step 5: Solve for x
    x = 176,486.02/468.61
  6. Step 6: Final answer
    x = 376.62

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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.