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Finding the Fourth Proportional to 466.84, 698.82 and 417.88

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Solution

The fourth proportional to 466.84, 698.82 and 417.88 is: 625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.84 : 698.82 = 417.88 : x
  2. Step 2: Convert to fraction form
    466.84/698.82 = 417.88/x
  3. Step 3: Cross multiply
    466.84x = 698.82 × 417.88
  4. Step 4: Simplify right side
    466.84x = 292,022.90
  5. Step 5: Solve for x
    x = 292,022.90/466.84
  6. Step 6: Final answer
    x = 625.53

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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.