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Finding the Fourth Proportional to 585.73, 807.67 and 364.60

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Solution

The fourth proportional to 585.73, 807.67 and 364.60 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.73 : 807.67 = 364.60 : x
  2. Step 2: Convert to fraction form
    585.73/807.67 = 364.60/x
  3. Step 3: Cross multiply
    585.73x = 807.67 × 364.60
  4. Step 4: Simplify right side
    585.73x = 294,477.95
  5. Step 5: Solve for x
    x = 294,477.95/585.73
  6. Step 6: Final answer
    x = 502.75

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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.