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Finding the Fourth Proportional to 585.33, 807.78 and 364.26

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Solution

The fourth proportional to 585.33, 807.78 and 364.26 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 807.78 = 364.26 : x
  2. Step 2: Convert to fraction form
    585.33/807.78 = 364.26/x
  3. Step 3: Cross multiply
    585.33x = 807.78 × 364.26
  4. Step 4: Simplify right side
    585.33x = 294,241.94
  5. Step 5: Solve for x
    x = 294,241.94/585.33
  6. Step 6: Final answer
    x = 502.69

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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.