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Finding the Fourth Proportional to 409.83, 614.51 and 280.01

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Solution

The fourth proportional to 409.83, 614.51 and 280.01 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.51 = 280.01 : x
  2. Step 2: Convert to fraction form
    409.83/614.51 = 280.01/x
  3. Step 3: Cross multiply
    409.83x = 614.51 × 280.01
  4. Step 4: Simplify right side
    409.83x = 172,064.47
  5. Step 5: Solve for x
    x = 172,064.47/409.83
  6. Step 6: Final answer
    x = 419.84

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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.