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Finding the Fourth Proportional to 518.24, 777.60 and 313.28

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Solution

The fourth proportional to 518.24, 777.60 and 313.28 is: 470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 777.60 = 313.28 : x
  2. Step 2: Convert to fraction form
    518.24/777.60 = 313.28/x
  3. Step 3: Cross multiply
    518.24x = 777.60 × 313.28
  4. Step 4: Simplify right side
    518.24x = 243,606.53
  5. Step 5: Solve for x
    x = 243,606.53/518.24
  6. Step 6: Final answer
    x = 470.07

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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.