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Finding the Fourth Proportional to 955.81, 1,434.03 and 408.00

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Solution

The fourth proportional to 955.81, 1,434.03 and 408.00 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.81 : 1,434.03 = 408.00 : x
  2. Step 2: Convert to fraction form
    955.81/1,434.03 = 408.00/x
  3. Step 3: Cross multiply
    955.81x = 1,434.03 × 408.00
  4. Step 4: Simplify right side
    955.81x = 585,088.09
  5. Step 5: Solve for x
    x = 585,088.09/955.81
  6. Step 6: Final answer
    x = 612.14

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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.