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Finding the Fourth Proportional to 446.30, 615.93 and 341.20

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Solution

The fourth proportional to 446.30, 615.93 and 341.20 is: 470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.30 : 615.93 = 341.20 : x
  2. Step 2: Convert to fraction form
    446.30/615.93 = 341.20/x
  3. Step 3: Cross multiply
    446.30x = 615.93 × 341.20
  4. Step 4: Simplify right side
    446.30x = 210,150.53
  5. Step 5: Solve for x
    x = 210,150.53/446.30
  6. Step 6: Final answer
    x = 470.87

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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.