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Finding the Fourth Proportional to 466.71, 699.12 and 374.91

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Solution

The fourth proportional to 466.71, 699.12 and 374.91 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.71 : 699.12 = 374.91 : x
  2. Step 2: Convert to fraction form
    466.71/699.12 = 374.91/x
  3. Step 3: Cross multiply
    466.71x = 699.12 × 374.91
  4. Step 4: Simplify right side
    466.71x = 262,107.08
  5. Step 5: Solve for x
    x = 262,107.08/466.71
  6. Step 6: Final answer
    x = 561.61

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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.