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Finding the Fourth Proportional to 585.33, 808.26 and 375.90

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Solution

The fourth proportional to 585.33, 808.26 and 375.90 is: 519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 808.26 = 375.90 : x
  2. Step 2: Convert to fraction form
    585.33/808.26 = 375.90/x
  3. Step 3: Cross multiply
    585.33x = 808.26 × 375.90
  4. Step 4: Simplify right side
    585.33x = 303,824.93
  5. Step 5: Solve for x
    x = 303,824.93/585.33
  6. Step 6: Final answer
    x = 519.07

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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.