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Finding the Fourth Proportional to 582.74, 873.92 and 212.49

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Solution

The fourth proportional to 582.74, 873.92 and 212.49 is: 318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 873.92 = 212.49 : x
  2. Step 2: Convert to fraction form
    582.74/873.92 = 212.49/x
  3. Step 3: Cross multiply
    582.74x = 873.92 × 212.49
  4. Step 4: Simplify right side
    582.74x = 185,699.26
  5. Step 5: Solve for x
    x = 185,699.26/582.74
  6. Step 6: Final answer
    x = 318.67

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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.