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Finding the Fourth Proportional to 407.95, 611.65 and 134.00

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Solution

The fourth proportional to 407.95, 611.65 and 134.00 is: 200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.95 : 611.65 = 134.00 : x
  2. Step 2: Convert to fraction form
    407.95/611.65 = 134.00/x
  3. Step 3: Cross multiply
    407.95x = 611.65 × 134.00
  4. Step 4: Simplify right side
    407.95x = 81,963.94
  5. Step 5: Solve for x
    x = 81,963.94/407.95
  6. Step 6: Final answer
    x = 200.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.