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Finding the Fourth Proportional to 520.84, 781.16 and 277.24

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Solution

The fourth proportional to 520.84, 781.16 and 277.24 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.84 : 781.16 = 277.24 : x
  2. Step 2: Convert to fraction form
    520.84/781.16 = 277.24/x
  3. Step 3: Cross multiply
    520.84x = 781.16 × 277.24
  4. Step 4: Simplify right side
    520.84x = 216,568.80
  5. Step 5: Solve for x
    x = 216,568.80/520.84
  6. Step 6: Final answer
    x = 415.81

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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.