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Finding the Fourth Proportional to 433.47, 597.17 and 380.92

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Solution

The fourth proportional to 433.47, 597.17 and 380.92 is: 524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.47 : 597.17 = 380.92 : x
  2. Step 2: Convert to fraction form
    433.47/597.17 = 380.92/x
  3. Step 3: Cross multiply
    433.47x = 597.17 × 380.92
  4. Step 4: Simplify right side
    433.47x = 227,474.00
  5. Step 5: Solve for x
    x = 227,474.00/433.47
  6. Step 6: Final answer
    x = 524.77

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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.