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Finding the Fourth Proportional to 523, 782.08 and 391.46

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Solution

The fourth proportional to 523, 782.08 and 391.46 is: 585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 782.08 = 391.46 : x
  2. Step 2: Convert to fraction form
    523/782.08 = 391.46/x
  3. Step 3: Cross multiply
    523x = 782.08 × 391.46
  4. Step 4: Simplify right side
    523x = 306,153.04
  5. Step 5: Solve for x
    x = 306,153.04/523
  6. Step 6: Final answer
    x = 585.38

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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.