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Finding the Fourth Proportional to 598.54, 826.35 and 474.70

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Solution

The fourth proportional to 598.54, 826.35 and 474.70 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 826.35 = 474.70 : x
  2. Step 2: Convert to fraction form
    598.54/826.35 = 474.70/x
  3. Step 3: Cross multiply
    598.54x = 826.35 × 474.70
  4. Step 4: Simplify right side
    598.54x = 392,268.35
  5. Step 5: Solve for x
    x = 392,268.35/598.54
  6. Step 6: Final answer
    x = 655.38

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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.