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Finding the Fourth Proportional to 574.36, 792.25 and 478.29

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Solution

The fourth proportional to 574.36, 792.25 and 478.29 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.36 : 792.25 = 478.29 : x
  2. Step 2: Convert to fraction form
    574.36/792.25 = 478.29/x
  3. Step 3: Cross multiply
    574.36x = 792.25 × 478.29
  4. Step 4: Simplify right side
    574.36x = 378,925.25
  5. Step 5: Solve for x
    x = 378,925.25/574.36
  6. Step 6: Final answer
    x = 659.74

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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.