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Finding the Fourth Proportional to 514.20, 708.36 and 416.28

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Solution

The fourth proportional to 514.20, 708.36 and 416.28 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 708.36 = 416.28 : x
  2. Step 2: Convert to fraction form
    514.20/708.36 = 416.28/x
  3. Step 3: Cross multiply
    514.20x = 708.36 × 416.28
  4. Step 4: Simplify right side
    514.20x = 294,876.10
  5. Step 5: Solve for x
    x = 294,876.10/514.20
  6. Step 6: Final answer
    x = 573.47

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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.