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Finding the Fourth Proportional to 409.63, 614.72 and 153.13

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Solution

The fourth proportional to 409.63, 614.72 and 153.13 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 614.72 = 153.13 : x
  2. Step 2: Convert to fraction form
    409.63/614.72 = 153.13/x
  3. Step 3: Cross multiply
    409.63x = 614.72 × 153.13
  4. Step 4: Simplify right side
    409.63x = 94,128.23
  5. Step 5: Solve for x
    x = 94,128.23/409.63
  6. Step 6: Final answer
    x = 229.79

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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.