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Finding the Fourth Proportional to 585.68, 808.04 and 410.96

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Solution

The fourth proportional to 585.68, 808.04 and 410.96 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 808.04 = 410.96 : x
  2. Step 2: Convert to fraction form
    585.68/808.04 = 410.96/x
  3. Step 3: Cross multiply
    585.68x = 808.04 × 410.96
  4. Step 4: Simplify right side
    585.68x = 332,072.12
  5. Step 5: Solve for x
    x = 332,072.12/585.68
  6. Step 6: Final answer
    x = 566.99

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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.