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Finding the Fourth Proportional to 433.60, 649.38 and 341.66

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Solution

The fourth proportional to 433.60, 649.38 and 341.66 is: 511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 649.38 = 341.66 : x
  2. Step 2: Convert to fraction form
    433.60/649.38 = 341.66/x
  3. Step 3: Cross multiply
    433.60x = 649.38 × 341.66
  4. Step 4: Simplify right side
    433.60x = 221,870.08
  5. Step 5: Solve for x
    x = 221,870.08/433.60
  6. Step 6: Final answer
    x = 511.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.