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Finding the Fourth Proportional to 521.04, 718.80 and 299.96

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Solution

The fourth proportional to 521.04, 718.80 and 299.96 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 718.80 = 299.96 : x
  2. Step 2: Convert to fraction form
    521.04/718.80 = 299.96/x
  3. Step 3: Cross multiply
    521.04x = 718.80 × 299.96
  4. Step 4: Simplify right side
    521.04x = 215,611.25
  5. Step 5: Solve for x
    x = 215,611.25/521.04
  6. Step 6: Final answer
    x = 413.81

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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.