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Finding the Fourth Proportional to 514.33, 709.02 and 409.46

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Solution

The fourth proportional to 514.33, 709.02 and 409.46 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 709.02 = 409.46 : x
  2. Step 2: Convert to fraction form
    514.33/709.02 = 409.46/x
  3. Step 3: Cross multiply
    514.33x = 709.02 × 409.46
  4. Step 4: Simplify right side
    514.33x = 290,315.33
  5. Step 5: Solve for x
    x = 290,315.33/514.33
  6. Step 6: Final answer
    x = 564.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.