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Finding the Fourth Proportional to 519.84, 782.38 and 390.53

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Solution

The fourth proportional to 519.84, 782.38 and 390.53 is: 587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 782.38 = 390.53 : x
  2. Step 2: Convert to fraction form
    519.84/782.38 = 390.53/x
  3. Step 3: Cross multiply
    519.84x = 782.38 × 390.53
  4. Step 4: Simplify right side
    519.84x = 305,542.86
  5. Step 5: Solve for x
    x = 305,542.86/519.84
  6. Step 6: Final answer
    x = 587.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.