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Finding the Fourth Proportional to 514.46, 709.08 and 416.18

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Solution

The fourth proportional to 514.46, 709.08 and 416.18 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.46 : 709.08 = 416.18 : x
  2. Step 2: Convert to fraction form
    514.46/709.08 = 416.18/x
  3. Step 3: Cross multiply
    514.46x = 709.08 × 416.18
  4. Step 4: Simplify right side
    514.46x = 295,101.37
  5. Step 5: Solve for x
    x = 295,101.37/514.46
  6. Step 6: Final answer
    x = 573.62

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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.