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Finding the Fourth Proportional to 514.72, 709.92 and 340

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Solution

The fourth proportional to 514.72, 709.92 and 340 is: 468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 709.92 = 340 : x
  2. Step 2: Convert to fraction form
    514.72/709.92 = 340/x
  3. Step 3: Cross multiply
    514.72x = 709.92 × 340
  4. Step 4: Simplify right side
    514.72x = 241,372.80
  5. Step 5: Solve for x
    x = 241,372.80/514.72
  6. Step 6: Final answer
    x = 468.94

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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.