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Finding the Fourth Proportional to 519.16, 778.74 and 459.02

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Solution

The fourth proportional to 519.16, 778.74 and 459.02 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.16 : 778.74 = 459.02 : x
  2. Step 2: Convert to fraction form
    519.16/778.74 = 459.02/x
  3. Step 3: Cross multiply
    519.16x = 778.74 × 459.02
  4. Step 4: Simplify right side
    519.16x = 357,454.37
  5. Step 5: Solve for x
    x = 357,454.37/519.16
  6. Step 6: Final answer
    x = 688.53

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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.