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Finding the Fourth Proportional to 519.55, 777.48 and 417.49

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Solution

The fourth proportional to 519.55, 777.48 and 417.49 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.55 : 777.48 = 417.49 : x
  2. Step 2: Convert to fraction form
    519.55/777.48 = 417.49/x
  3. Step 3: Cross multiply
    519.55x = 777.48 × 417.49
  4. Step 4: Simplify right side
    519.55x = 324,590.13
  5. Step 5: Solve for x
    x = 324,590.13/519.55
  6. Step 6: Final answer
    x = 624.75

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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.