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Finding the Fourth Proportional to 600.73, 830.13 and 453.10

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Solution

The fourth proportional to 600.73, 830.13 and 453.10 is: 626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.73 : 830.13 = 453.10 : x
  2. Step 2: Convert to fraction form
    600.73/830.13 = 453.10/x
  3. Step 3: Cross multiply
    600.73x = 830.13 × 453.10
  4. Step 4: Simplify right side
    600.73x = 376,131.90
  5. Step 5: Solve for x
    x = 376,131.90/600.73
  6. Step 6: Final answer
    x = 626.12

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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.