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Finding the Fourth Proportional to 598.63, 826.35 and 515.41

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Solution

The fourth proportional to 598.63, 826.35 and 515.41 is: 711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.63 : 826.35 = 515.41 : x
  2. Step 2: Convert to fraction form
    598.63/826.35 = 515.41/x
  3. Step 3: Cross multiply
    598.63x = 826.35 × 515.41
  4. Step 4: Simplify right side
    598.63x = 425,909.05
  5. Step 5: Solve for x
    x = 425,909.05/598.63
  6. Step 6: Final answer
    x = 711.47

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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.