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Finding the Fourth Proportional to 409.83, 614.72 and 101.67

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Solution

The fourth proportional to 409.83, 614.72 and 101.67 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.72 = 101.67 : x
  2. Step 2: Convert to fraction form
    409.83/614.72 = 101.67/x
  3. Step 3: Cross multiply
    409.83x = 614.72 × 101.67
  4. Step 4: Simplify right side
    409.83x = 62,499.99
  5. Step 5: Solve for x
    x = 62,499.99/409.83
  6. Step 6: Final answer
    x = 152.50

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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.