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Finding the Fourth Proportional to 466.57, 700.34 and 456.11

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Solution

The fourth proportional to 466.57, 700.34 and 456.11 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.57 : 700.34 = 456.11 : x
  2. Step 2: Convert to fraction form
    466.57/700.34 = 456.11/x
  3. Step 3: Cross multiply
    466.57x = 700.34 × 456.11
  4. Step 4: Simplify right side
    466.57x = 319,434.97
  5. Step 5: Solve for x
    x = 319,434.97/466.57
  6. Step 6: Final answer
    x = 684.65

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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.