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Finding the Fourth Proportional to 585.96, 808.50 and 350.08

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Solution

The fourth proportional to 585.96, 808.50 and 350.08 is: 483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 808.50 = 350.08 : x
  2. Step 2: Convert to fraction form
    585.96/808.50 = 350.08/x
  3. Step 3: Cross multiply
    585.96x = 808.50 × 350.08
  4. Step 4: Simplify right side
    585.96x = 283,039.68
  5. Step 5: Solve for x
    x = 283,039.68/585.96
  6. Step 6: Final answer
    x = 483.04

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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.