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Finding the Fourth Proportional to 598.46, 826.50 and 412.43

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Solution

The fourth proportional to 598.46, 826.50 and 412.43 is: 569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.46 : 826.50 = 412.43 : x
  2. Step 2: Convert to fraction form
    598.46/826.50 = 412.43/x
  3. Step 3: Cross multiply
    598.46x = 826.50 × 412.43
  4. Step 4: Simplify right side
    598.46x = 340,875.46
  5. Step 5: Solve for x
    x = 340,875.46/598.46
  6. Step 6: Final answer
    x = 569.59

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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.