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Finding the Fourth Proportional to 585.98, 808.62 and 324.02

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Solution

The fourth proportional to 585.98, 808.62 and 324.02 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 808.62 = 324.02 : x
  2. Step 2: Convert to fraction form
    585.98/808.62 = 324.02/x
  3. Step 3: Cross multiply
    585.98x = 808.62 × 324.02
  4. Step 4: Simplify right side
    585.98x = 262,009.05
  5. Step 5: Solve for x
    x = 262,009.05/585.98
  6. Step 6: Final answer
    x = 447.13

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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.