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Finding the Fourth Proportional to 446.07, 666.18 and 380.37

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Solution

The fourth proportional to 446.07, 666.18 and 380.37 is: 568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 666.18 = 380.37 : x
  2. Step 2: Convert to fraction form
    446.07/666.18 = 380.37/x
  3. Step 3: Cross multiply
    446.07x = 666.18 × 380.37
  4. Step 4: Simplify right side
    446.07x = 253,394.89
  5. Step 5: Solve for x
    x = 253,394.89/446.07
  6. Step 6: Final answer
    x = 568.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.