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Finding the Fourth Proportional to 518.20, 776.66 and 312.30

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Solution

The fourth proportional to 518.20, 776.66 and 312.30 is: 468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.20 : 776.66 = 312.30 : x
  2. Step 2: Convert to fraction form
    518.20/776.66 = 312.30/x
  3. Step 3: Cross multiply
    518.20x = 776.66 × 312.30
  4. Step 4: Simplify right side
    518.20x = 242,549.36
  5. Step 5: Solve for x
    x = 242,549.36/518.20
  6. Step 6: Final answer
    x = 468.06

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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.