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Finding the Fourth Proportional to 585.56, 808.27 and 364.70

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Solution

The fourth proportional to 585.56, 808.27 and 364.70 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 808.27 = 364.70 : x
  2. Step 2: Convert to fraction form
    585.56/808.27 = 364.70/x
  3. Step 3: Cross multiply
    585.56x = 808.27 × 364.70
  4. Step 4: Simplify right side
    585.56x = 294,772.03
  5. Step 5: Solve for x
    x = 294,772.03/585.56
  6. Step 6: Final answer
    x = 503.41

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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.