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Finding the Fourth Proportional to 598.14, 824.38 and 514.90

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Solution

The fourth proportional to 598.14, 824.38 and 514.90 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 824.38 = 514.90 : x
  2. Step 2: Convert to fraction form
    598.14/824.38 = 514.90/x
  3. Step 3: Cross multiply
    598.14x = 824.38 × 514.90
  4. Step 4: Simplify right side
    598.14x = 424,473.26
  5. Step 5: Solve for x
    x = 424,473.26/598.14
  6. Step 6: Final answer
    x = 709.66

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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.