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Finding the Fourth Proportional to 520.84, 718.86 and 299.77

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Solution

The fourth proportional to 520.84, 718.86 and 299.77 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.84 : 718.86 = 299.77 : x
  2. Step 2: Convert to fraction form
    520.84/718.86 = 299.77/x
  3. Step 3: Cross multiply
    520.84x = 718.86 × 299.77
  4. Step 4: Simplify right side
    520.84x = 215,492.66
  5. Step 5: Solve for x
    x = 215,492.66/520.84
  6. Step 6: Final answer
    x = 413.74

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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.