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Finding the Fourth Proportional to 514.08, 709.84 and 411.04

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Solution

The fourth proportional to 514.08, 709.84 and 411.04 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.08 : 709.84 = 411.04 : x
  2. Step 2: Convert to fraction form
    514.08/709.84 = 411.04/x
  3. Step 3: Cross multiply
    514.08x = 709.84 × 411.04
  4. Step 4: Simplify right side
    514.08x = 291,772.63
  5. Step 5: Solve for x
    x = 291,772.63/514.08
  6. Step 6: Final answer
    x = 567.56

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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.