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Finding the Fourth Proportional to 607.98, 910.71 and 454.17

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Solution

The fourth proportional to 607.98, 910.71 and 454.17 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.98 : 910.71 = 454.17 : x
  2. Step 2: Convert to fraction form
    607.98/910.71 = 454.17/x
  3. Step 3: Cross multiply
    607.98x = 910.71 × 454.17
  4. Step 4: Simplify right side
    607.98x = 413,617.16
  5. Step 5: Solve for x
    x = 413,617.16/607.98
  6. Step 6: Final answer
    x = 680.31

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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.