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Finding the Fourth Proportional to 598, 824.34 and 514.66

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Solution

The fourth proportional to 598, 824.34 and 514.66 is: 709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 824.34 = 514.66 : x
  2. Step 2: Convert to fraction form
    598/824.34 = 514.66/x
  3. Step 3: Cross multiply
    598x = 824.34 × 514.66
  4. Step 4: Simplify right side
    598x = 424,254.82
  5. Step 5: Solve for x
    x = 424,254.82/598
  6. Step 6: Final answer
    x = 709.46

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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.