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Finding the Fourth Proportional to 520.89, 780.88 and 277.59

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Solution

The fourth proportional to 520.89, 780.88 and 277.59 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 780.88 = 277.59 : x
  2. Step 2: Convert to fraction form
    520.89/780.88 = 277.59/x
  3. Step 3: Cross multiply
    520.89x = 780.88 × 277.59
  4. Step 4: Simplify right side
    520.89x = 216,764.48
  5. Step 5: Solve for x
    x = 216,764.48/520.89
  6. Step 6: Final answer
    x = 416.14

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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.