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Finding the Fourth Proportional to 574.80, 792.84 and 364.92

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Solution

The fourth proportional to 574.80, 792.84 and 364.92 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 792.84 = 364.92 : x
  2. Step 2: Convert to fraction form
    574.80/792.84 = 364.92/x
  3. Step 3: Cross multiply
    574.80x = 792.84 × 364.92
  4. Step 4: Simplify right side
    574.80x = 289,323.17
  5. Step 5: Solve for x
    x = 289,323.17/574.80
  6. Step 6: Final answer
    x = 503.35

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