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Finding the Fourth Proportional to 585.78, 808.49 and 364.68

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Solution

The fourth proportional to 585.78, 808.49 and 364.68 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 808.49 = 364.68 : x
  2. Step 2: Convert to fraction form
    585.78/808.49 = 364.68/x
  3. Step 3: Cross multiply
    585.78x = 808.49 × 364.68
  4. Step 4: Simplify right side
    585.78x = 294,838.31
  5. Step 5: Solve for x
    x = 294,838.31/585.78
  6. Step 6: Final answer
    x = 503.33

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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.