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Finding the Fourth Proportional to 574.02, 792.59 and 377.80

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Solution

The fourth proportional to 574.02, 792.59 and 377.80 is: 521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 792.59 = 377.80 : x
  2. Step 2: Convert to fraction form
    574.02/792.59 = 377.80/x
  3. Step 3: Cross multiply
    574.02x = 792.59 × 377.80
  4. Step 4: Simplify right side
    574.02x = 299,436.63
  5. Step 5: Solve for x
    x = 299,436.63/574.02
  6. Step 6: Final answer
    x = 521.65

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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.