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Finding the Fourth Proportional to 340.34, 509.56 and 175.46

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Solution

The fourth proportional to 340.34, 509.56 and 175.46 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 509.56 = 175.46 : x
  2. Step 2: Convert to fraction form
    340.34/509.56 = 175.46/x
  3. Step 3: Cross multiply
    340.34x = 509.56 × 175.46
  4. Step 4: Simplify right side
    340.34x = 89,404.41
  5. Step 5: Solve for x
    x = 89,404.41/340.34
  6. Step 6: Final answer
    x = 262.70

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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.