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Finding the Fourth Proportional to 518.28, 777.62 and 313

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Solution

The fourth proportional to 518.28, 777.62 and 313 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.28 : 777.62 = 313 : x
  2. Step 2: Convert to fraction form
    518.28/777.62 = 313/x
  3. Step 3: Cross multiply
    518.28x = 777.62 × 313
  4. Step 4: Simplify right side
    518.28x = 243,395.06
  5. Step 5: Solve for x
    x = 243,395.06/518.28
  6. Step 6: Final answer
    x = 469.62

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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.