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Finding the Fourth Proportional to 598.04, 825.66 and 474.20

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Solution

The fourth proportional to 598.04, 825.66 and 474.20 is: 654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 825.66 = 474.20 : x
  2. Step 2: Convert to fraction form
    598.04/825.66 = 474.20/x
  3. Step 3: Cross multiply
    598.04x = 825.66 × 474.20
  4. Step 4: Simplify right side
    598.04x = 391,527.97
  5. Step 5: Solve for x
    x = 391,527.97/598.04
  6. Step 6: Final answer
    x = 654.69

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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.