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Finding the Fourth Proportional to 598.58, 826.44 and 402.44

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Solution

The fourth proportional to 598.58, 826.44 and 402.44 is: 555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.58 : 826.44 = 402.44 : x
  2. Step 2: Convert to fraction form
    598.58/826.44 = 402.44/x
  3. Step 3: Cross multiply
    598.58x = 826.44 × 402.44
  4. Step 4: Simplify right side
    598.58x = 332,592.51
  5. Step 5: Solve for x
    x = 332,592.51/598.58
  6. Step 6: Final answer
    x = 555.64

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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.