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Finding the Fourth Proportional to 518.10, 777.24 and 210.12

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Solution

The fourth proportional to 518.10, 777.24 and 210.12 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 777.24 = 210.12 : x
  2. Step 2: Convert to fraction form
    518.10/777.24 = 210.12/x
  3. Step 3: Cross multiply
    518.10x = 777.24 × 210.12
  4. Step 4: Simplify right side
    518.10x = 163,313.67
  5. Step 5: Solve for x
    x = 163,313.67/518.10
  6. Step 6: Final answer
    x = 315.22

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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.