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Finding the Fourth Proportional to 520.60, 780.90 and 277.06

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Solution

The fourth proportional to 520.60, 780.90 and 277.06 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 780.90 = 277.06 : x
  2. Step 2: Convert to fraction form
    520.60/780.90 = 277.06/x
  3. Step 3: Cross multiply
    520.60x = 780.90 × 277.06
  4. Step 4: Simplify right side
    520.60x = 216,356.15
  5. Step 5: Solve for x
    x = 216,356.15/520.60
  6. Step 6: Final answer
    x = 415.59

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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.