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Finding the Fourth Proportional to 514.08, 709.65 and 464.85

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Solution

The fourth proportional to 514.08, 709.65 and 464.85 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.08 : 709.65 = 464.85 : x
  2. Step 2: Convert to fraction form
    514.08/709.65 = 464.85/x
  3. Step 3: Cross multiply
    514.08x = 709.65 × 464.85
  4. Step 4: Simplify right side
    514.08x = 329,880.80
  5. Step 5: Solve for x
    x = 329,880.80/514.08
  6. Step 6: Final answer
    x = 641.69

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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.