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Finding the Fourth Proportional to 574.84, 793.35 and 378.75

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Solution

The fourth proportional to 574.84, 793.35 and 378.75 is: 522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.84 : 793.35 = 378.75 : x
  2. Step 2: Convert to fraction form
    574.84/793.35 = 378.75/x
  3. Step 3: Cross multiply
    574.84x = 793.35 × 378.75
  4. Step 4: Simplify right side
    574.84x = 300,479.42
  5. Step 5: Solve for x
    x = 300,479.42/574.84
  6. Step 6: Final answer
    x = 522.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.