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Finding the Fourth Proportional to 598.04, 825 and 423.56

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Solution

The fourth proportional to 598.04, 825 and 423.56 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 825 = 423.56 : x
  2. Step 2: Convert to fraction form
    598.04/825 = 423.56/x
  3. Step 3: Cross multiply
    598.04x = 825 × 423.56
  4. Step 4: Simplify right side
    598.04x = 349,437
  5. Step 5: Solve for x
    x = 349,437/598.04
  6. Step 6: Final answer
    x = 584.30

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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.