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Finding the Fourth Proportional to 585.35, 876.75 and 367.86

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Solution

The fourth proportional to 585.35, 876.75 and 367.86 is: 550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.35 : 876.75 = 367.86 : x
  2. Step 2: Convert to fraction form
    585.35/876.75 = 367.86/x
  3. Step 3: Cross multiply
    585.35x = 876.75 × 367.86
  4. Step 4: Simplify right side
    585.35x = 322,521.26
  5. Step 5: Solve for x
    x = 322,521.26/585.35
  6. Step 6: Final answer
    x = 550.99

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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.