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Finding the Fourth Proportional to 340.70, 475.90 and 340.70

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Solution

The fourth proportional to 340.70, 475.90 and 340.70 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 475.90 = 340.70 : x
  2. Step 2: Convert to fraction form
    340.70/475.90 = 340.70/x
  3. Step 3: Cross multiply
    340.70x = 475.90 × 340.70
  4. Step 4: Simplify right side
    340.70x = 162,139.13
  5. Step 5: Solve for x
    x = 162,139.13/340.70
  6. Step 6: Final answer
    x = 475.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.