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Finding the Fourth Proportional to 340.20, 509.64 and 294

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Solution

The fourth proportional to 340.20, 509.64 and 294 is: 440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 509.64 = 294 : x
  2. Step 2: Convert to fraction form
    340.20/509.64 = 294/x
  3. Step 3: Cross multiply
    340.20x = 509.64 × 294
  4. Step 4: Simplify right side
    340.20x = 149,834.16
  5. Step 5: Solve for x
    x = 149,834.16/340.20
  6. Step 6: Final answer
    x = 440.43

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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.