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Finding the Fourth Proportional to 585.17, 876.94 and 296.27

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Solution

The fourth proportional to 585.17, 876.94 and 296.27 is: 443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.17 : 876.94 = 296.27 : x
  2. Step 2: Convert to fraction form
    585.17/876.94 = 296.27/x
  3. Step 3: Cross multiply
    585.17x = 876.94 × 296.27
  4. Step 4: Simplify right side
    585.17x = 259,811.01
  5. Step 5: Solve for x
    x = 259,811.01/585.17
  6. Step 6: Final answer
    x = 443.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.