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Finding the Fourth Proportional to 585.63, 807.98 and 408.65

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Solution

The fourth proportional to 585.63, 807.98 and 408.65 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 807.98 = 408.65 : x
  2. Step 2: Convert to fraction form
    585.63/807.98 = 408.65/x
  3. Step 3: Cross multiply
    585.63x = 807.98 × 408.65
  4. Step 4: Simplify right side
    585.63x = 330,174.94
  5. Step 5: Solve for x
    x = 330,174.94/585.63
  6. Step 6: Final answer
    x = 563.79

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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.