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Finding the Fourth Proportional to 520.30, 780.59 and 276.63

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Solution

The fourth proportional to 520.30, 780.59 and 276.63 is: 415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 780.59 = 276.63 : x
  2. Step 2: Convert to fraction form
    520.30/780.59 = 276.63/x
  3. Step 3: Cross multiply
    520.30x = 780.59 × 276.63
  4. Step 4: Simplify right side
    520.30x = 215,934.61
  5. Step 5: Solve for x
    x = 215,934.61/520.30
  6. Step 6: Final answer
    x = 415.02

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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.