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Finding the Fourth Proportional to 340.40, 469.65 and 200.50

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Solution

The fourth proportional to 340.40, 469.65 and 200.50 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 469.65 = 200.50 : x
  2. Step 2: Convert to fraction form
    340.40/469.65 = 200.50/x
  3. Step 3: Cross multiply
    340.40x = 469.65 × 200.50
  4. Step 4: Simplify right side
    340.40x = 94,164.83
  5. Step 5: Solve for x
    x = 94,164.83/340.40
  6. Step 6: Final answer
    x = 276.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.