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Finding the Fourth Proportional to 585.24, 878.14 and 277.24

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Solution

The fourth proportional to 585.24, 878.14 and 277.24 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 878.14 = 277.24 : x
  2. Step 2: Convert to fraction form
    585.24/878.14 = 277.24/x
  3. Step 3: Cross multiply
    585.24x = 878.14 × 277.24
  4. Step 4: Simplify right side
    585.24x = 243,455.53
  5. Step 5: Solve for x
    x = 243,455.53/585.24
  6. Step 6: Final answer
    x = 415.99

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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.