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Finding the Fourth Proportional to 585.33, 807.80 and 364.29

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Solution

The fourth proportional to 585.33, 807.80 and 364.29 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 807.80 = 364.29 : x
  2. Step 2: Convert to fraction form
    585.33/807.80 = 364.29/x
  3. Step 3: Cross multiply
    585.33x = 807.80 × 364.29
  4. Step 4: Simplify right side
    585.33x = 294,273.46
  5. Step 5: Solve for x
    x = 294,273.46/585.33
  6. Step 6: Final answer
    x = 502.75

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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.