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Finding the Fourth Proportional to 955.23, 1,433.49 and 407.53

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Solution

The fourth proportional to 955.23, 1,433.49 and 407.53 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.23 : 1,433.49 = 407.53 : x
  2. Step 2: Convert to fraction form
    955.23/1,433.49 = 407.53/x
  3. Step 3: Cross multiply
    955.23x = 1,433.49 × 407.53
  4. Step 4: Simplify right side
    955.23x = 584,190.18
  5. Step 5: Solve for x
    x = 584,190.18/955.23
  6. Step 6: Final answer
    x = 611.57

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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.