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Finding the Fourth Proportional to 582.63, 873.94 and 149.78

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Solution

The fourth proportional to 582.63, 873.94 and 149.78 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 873.94 = 149.78 : x
  2. Step 2: Convert to fraction form
    582.63/873.94 = 149.78/x
  3. Step 3: Cross multiply
    582.63x = 873.94 × 149.78
  4. Step 4: Simplify right side
    582.63x = 130,898.73
  5. Step 5: Solve for x
    x = 130,898.73/582.63
  6. Step 6: Final answer
    x = 224.67

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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.