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Finding the Fourth Proportional to 520.06, 717.68 and 284.00

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Solution

The fourth proportional to 520.06, 717.68 and 284.00 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.06 : 717.68 = 284.00 : x
  2. Step 2: Convert to fraction form
    520.06/717.68 = 284.00/x
  3. Step 3: Cross multiply
    520.06x = 717.68 × 284.00
  4. Step 4: Simplify right side
    520.06x = 203,823.62
  5. Step 5: Solve for x
    x = 203,823.62/520.06
  6. Step 6: Final answer
    x = 391.93

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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.