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Finding the Fourth Proportional to 598.66, 826.15 and 419.47

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Solution

The fourth proportional to 598.66, 826.15 and 419.47 is: 578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.66 : 826.15 = 419.47 : x
  2. Step 2: Convert to fraction form
    598.66/826.15 = 419.47/x
  3. Step 3: Cross multiply
    598.66x = 826.15 × 419.47
  4. Step 4: Simplify right side
    598.66x = 346,546.32
  5. Step 5: Solve for x
    x = 346,546.32/598.66
  6. Step 6: Final answer
    x = 578.87

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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.