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Finding the Fourth Proportional to 624.16, 934.02 and 605.68

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Solution

The fourth proportional to 624.16, 934.02 and 605.68 is: 906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.16 : 934.02 = 605.68 : x
  2. Step 2: Convert to fraction form
    624.16/934.02 = 605.68/x
  3. Step 3: Cross multiply
    624.16x = 934.02 × 605.68
  4. Step 4: Simplify right side
    624.16x = 565,717.23
  5. Step 5: Solve for x
    x = 565,717.23/624.16
  6. Step 6: Final answer
    x = 906.37

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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.