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Finding the Fourth Proportional to 585.13, 808.05 and 364.17

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Solution

The fourth proportional to 585.13, 808.05 and 364.17 is: 502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.13 : 808.05 = 364.17 : x
  2. Step 2: Convert to fraction form
    585.13/808.05 = 364.17/x
  3. Step 3: Cross multiply
    585.13x = 808.05 × 364.17
  4. Step 4: Simplify right side
    585.13x = 294,267.57
  5. Step 5: Solve for x
    x = 294,267.57/585.13
  6. Step 6: Final answer
    x = 502.91

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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.