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Finding the Fourth Proportional to 518.16, 777.33 and 286.95

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Solution

The fourth proportional to 518.16, 777.33 and 286.95 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 777.33 = 286.95 : x
  2. Step 2: Convert to fraction form
    518.16/777.33 = 286.95/x
  3. Step 3: Cross multiply
    518.16x = 777.33 × 286.95
  4. Step 4: Simplify right side
    518.16x = 223,054.84
  5. Step 5: Solve for x
    x = 223,054.84/518.16
  6. Step 6: Final answer
    x = 430.47

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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.