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Finding the Fourth Proportional to 518.76, 777.24 and 312.72

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Solution

The fourth proportional to 518.76, 777.24 and 312.72 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 777.24 = 312.72 : x
  2. Step 2: Convert to fraction form
    518.76/777.24 = 312.72/x
  3. Step 3: Cross multiply
    518.76x = 777.24 × 312.72
  4. Step 4: Simplify right side
    518.76x = 243,058.49
  5. Step 5: Solve for x
    x = 243,058.49/518.76
  6. Step 6: Final answer
    x = 468.54

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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.