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Finding the Fourth Proportional to 340.16, 509.76 and 294.30

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Solution

The fourth proportional to 340.16, 509.76 and 294.30 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 509.76 = 294.30 : x
  2. Step 2: Convert to fraction form
    340.16/509.76 = 294.30/x
  3. Step 3: Cross multiply
    340.16x = 509.76 × 294.30
  4. Step 4: Simplify right side
    340.16x = 150,022.37
  5. Step 5: Solve for x
    x = 150,022.37/340.16
  6. Step 6: Final answer
    x = 441.04

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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.