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Finding the Fourth Proportional to 585.86, 808.01 and 467.83

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Solution

The fourth proportional to 585.86, 808.01 and 467.83 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 808.01 = 467.83 : x
  2. Step 2: Convert to fraction form
    585.86/808.01 = 467.83/x
  3. Step 3: Cross multiply
    585.86x = 808.01 × 467.83
  4. Step 4: Simplify right side
    585.86x = 378,014.29
  5. Step 5: Solve for x
    x = 378,014.29/585.86
  6. Step 6: Final answer
    x = 645.23

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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.