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Finding the Fourth Proportional to 521.00, 718.61 and 299.87

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Solution

The fourth proportional to 521.00, 718.61 and 299.87 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.00 : 718.61 = 299.87 : x
  2. Step 2: Convert to fraction form
    521.00/718.61 = 299.87/x
  3. Step 3: Cross multiply
    521.00x = 718.61 × 299.87
  4. Step 4: Simplify right side
    521.00x = 215,487.18
  5. Step 5: Solve for x
    x = 215,487.18/521.00
  6. Step 6: Final answer
    x = 413.60

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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.