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Finding the Fourth Proportional to 598.98, 826.65 and 386.22

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Solution

The fourth proportional to 598.98, 826.65 and 386.22 is: 533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.98 : 826.65 = 386.22 : x
  2. Step 2: Convert to fraction form
    598.98/826.65 = 386.22/x
  3. Step 3: Cross multiply
    598.98x = 826.65 × 386.22
  4. Step 4: Simplify right side
    598.98x = 319,268.76
  5. Step 5: Solve for x
    x = 319,268.76/598.98
  6. Step 6: Final answer
    x = 533.02

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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.