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Finding the Fourth Proportional to 466.48, 699.73 and 379.71

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Solution

The fourth proportional to 466.48, 699.73 and 379.71 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 699.73 = 379.71 : x
  2. Step 2: Convert to fraction form
    466.48/699.73 = 379.71/x
  3. Step 3: Cross multiply
    466.48x = 699.73 × 379.71
  4. Step 4: Simplify right side
    466.48x = 265,693.53
  5. Step 5: Solve for x
    x = 265,693.53/466.48
  6. Step 6: Final answer
    x = 569.57

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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.