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Finding the Fourth Proportional to 433.21, 597.16 and 397.46

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Solution

The fourth proportional to 433.21, 597.16 and 397.46 is: 547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.21 : 597.16 = 397.46 : x
  2. Step 2: Convert to fraction form
    433.21/597.16 = 397.46/x
  3. Step 3: Cross multiply
    433.21x = 597.16 × 397.46
  4. Step 4: Simplify right side
    433.21x = 237,342.24
  5. Step 5: Solve for x
    x = 237,342.24/433.21
  6. Step 6: Final answer
    x = 547.87

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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.