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Finding the Fourth Proportional to 433.32, 597.06 and 380.46

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Solution

The fourth proportional to 433.32, 597.06 and 380.46 is: 524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 597.06 = 380.46 : x
  2. Step 2: Convert to fraction form
    433.32/597.06 = 380.46/x
  3. Step 3: Cross multiply
    433.32x = 597.06 × 380.46
  4. Step 4: Simplify right side
    433.32x = 227,157.45
  5. Step 5: Solve for x
    x = 227,157.45/433.32
  6. Step 6: Final answer
    x = 524.23

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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.