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Finding the Fourth Proportional to 585.78, 808.44 and 399.66

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Solution

The fourth proportional to 585.78, 808.44 and 399.66 is: 551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 808.44 = 399.66 : x
  2. Step 2: Convert to fraction form
    585.78/808.44 = 399.66/x
  3. Step 3: Cross multiply
    585.78x = 808.44 × 399.66
  4. Step 4: Simplify right side
    585.78x = 323,101.13
  5. Step 5: Solve for x
    x = 323,101.13/585.78
  6. Step 6: Final answer
    x = 551.57

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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.