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Finding the Fourth Proportional to 433.53, 598.37 and 247.05

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Solution

The fourth proportional to 433.53, 598.37 and 247.05 is: 340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 598.37 = 247.05 : x
  2. Step 2: Convert to fraction form
    433.53/598.37 = 247.05/x
  3. Step 3: Cross multiply
    433.53x = 598.37 × 247.05
  4. Step 4: Simplify right side
    433.53x = 147,826.07
  5. Step 5: Solve for x
    x = 147,826.07/433.53
  6. Step 6: Final answer
    x = 340.98

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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.