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Finding the Fourth Proportional to 514.56, 709.38 and 410.00

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Solution

The fourth proportional to 514.56, 709.38 and 410.00 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 709.38 = 410.00 : x
  2. Step 2: Convert to fraction form
    514.56/709.38 = 410.00/x
  3. Step 3: Cross multiply
    514.56x = 709.38 × 410.00
  4. Step 4: Simplify right side
    514.56x = 290,847.57
  5. Step 5: Solve for x
    x = 290,847.57/514.56
  6. Step 6: Final answer
    x = 565.24

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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.