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Finding the Fourth Proportional to 446.15, 615.12 and 288.51

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Solution

The fourth proportional to 446.15, 615.12 and 288.51 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.15 : 615.12 = 288.51 : x
  2. Step 2: Convert to fraction form
    446.15/615.12 = 288.51/x
  3. Step 3: Cross multiply
    446.15x = 615.12 × 288.51
  4. Step 4: Simplify right side
    446.15x = 177,466.56
  5. Step 5: Solve for x
    x = 177,466.56/446.15
  6. Step 6: Final answer
    x = 397.77

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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.