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Finding the Fourth Proportional to 955.08, 1,433.16 and 407.22

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Solution

The fourth proportional to 955.08, 1,433.16 and 407.22 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.08 : 1,433.16 = 407.22 : x
  2. Step 2: Convert to fraction form
    955.08/1,433.16 = 407.22/x
  3. Step 3: Cross multiply
    955.08x = 1,433.16 × 407.22
  4. Step 4: Simplify right side
    955.08x = 583,611.42
  5. Step 5: Solve for x
    x = 583,611.42/955.08
  6. Step 6: Final answer
    x = 611.06

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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.