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Finding the Fourth Proportional to 518.18, 776.84 and 374

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Solution

The fourth proportional to 518.18, 776.84 and 374 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.18 : 776.84 = 374 : x
  2. Step 2: Convert to fraction form
    518.18/776.84 = 374/x
  3. Step 3: Cross multiply
    518.18x = 776.84 × 374
  4. Step 4: Simplify right side
    518.18x = 290,538.16
  5. Step 5: Solve for x
    x = 290,538.16/518.18
  6. Step 6: Final answer
    x = 560.69

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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.