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Finding the Fourth Proportional to 614.40, 847.92 and 466.77

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Solution

The fourth proportional to 614.40, 847.92 and 466.77 is: 644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 847.92 = 466.77 : x
  2. Step 2: Convert to fraction form
    614.40/847.92 = 466.77/x
  3. Step 3: Cross multiply
    614.40x = 847.92 × 466.77
  4. Step 4: Simplify right side
    614.40x = 395,783.62
  5. Step 5: Solve for x
    x = 395,783.62/614.40
  6. Step 6: Final answer
    x = 644.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.