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Finding the Fourth Proportional to 585.78, 808.38 and 337.09

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Solution

The fourth proportional to 585.78, 808.38 and 337.09 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.78 : 808.38 = 337.09 : x
  2. Step 2: Convert to fraction form
    585.78/808.38 = 337.09/x
  3. Step 3: Cross multiply
    585.78x = 808.38 × 337.09
  4. Step 4: Simplify right side
    585.78x = 272,496.81
  5. Step 5: Solve for x
    x = 272,496.81/585.78
  6. Step 6: Final answer
    x = 465.19

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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.