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Finding the Fourth Proportional to 353.56, 530.23 and 216.67

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Solution

The fourth proportional to 353.56, 530.23 and 216.67 is: 324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.56 : 530.23 = 216.67 : x
  2. Step 2: Convert to fraction form
    353.56/530.23 = 216.67/x
  3. Step 3: Cross multiply
    353.56x = 530.23 × 216.67
  4. Step 4: Simplify right side
    353.56x = 114,881.20
  5. Step 5: Solve for x
    x = 114,881.20/353.56
  6. Step 6: Final answer
    x = 324.93

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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.