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Finding the Fourth Proportional to 585.49, 878.23 and 549.85

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Solution

The fourth proportional to 585.49, 878.23 and 549.85 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 878.23 = 549.85 : x
  2. Step 2: Convert to fraction form
    585.49/878.23 = 549.85/x
  3. Step 3: Cross multiply
    585.49x = 878.23 × 549.85
  4. Step 4: Simplify right side
    585.49x = 482,894.77
  5. Step 5: Solve for x
    x = 482,894.77/585.49
  6. Step 6: Final answer
    x = 824.77

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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.