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Finding the Fourth Proportional to 605.52, 833.62 and 527.84

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Solution

The fourth proportional to 605.52, 833.62 and 527.84 is: 726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 833.62 = 527.84 : x
  2. Step 2: Convert to fraction form
    605.52/833.62 = 527.84/x
  3. Step 3: Cross multiply
    605.52x = 833.62 × 527.84
  4. Step 4: Simplify right side
    605.52x = 440,017.98
  5. Step 5: Solve for x
    x = 440,017.98/605.52
  6. Step 6: Final answer
    x = 726.68

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