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Finding the Fourth Proportional to 519.10, 777.63 and 313.06

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Solution

The fourth proportional to 519.10, 777.63 and 313.06 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 777.63 = 313.06 : x
  2. Step 2: Convert to fraction form
    519.10/777.63 = 313.06/x
  3. Step 3: Cross multiply
    519.10x = 777.63 × 313.06
  4. Step 4: Simplify right side
    519.10x = 243,444.85
  5. Step 5: Solve for x
    x = 243,444.85/519.10
  6. Step 6: Final answer
    x = 468.97

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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.