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Finding the Fourth Proportional to 551.58, 825.93 and 378.78

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Solution

The fourth proportional to 551.58, 825.93 and 378.78 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.58 : 825.93 = 378.78 : x
  2. Step 2: Convert to fraction form
    551.58/825.93 = 378.78/x
  3. Step 3: Cross multiply
    551.58x = 825.93 × 378.78
  4. Step 4: Simplify right side
    551.58x = 312,845.77
  5. Step 5: Solve for x
    x = 312,845.77/551.58
  6. Step 6: Final answer
    x = 567.18

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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.