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Finding the Fourth Proportional to 514.02, 708.67 and 409.47

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Solution

The fourth proportional to 514.02, 708.67 and 409.47 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.02 : 708.67 = 409.47 : x
  2. Step 2: Convert to fraction form
    514.02/708.67 = 409.47/x
  3. Step 3: Cross multiply
    514.02x = 708.67 × 409.47
  4. Step 4: Simplify right side
    514.02x = 290,179.10
  5. Step 5: Solve for x
    x = 290,179.10/514.02
  6. Step 6: Final answer
    x = 564.53

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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.