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Finding the Fourth Proportional to 955.08, 1,432.70 and 407.24

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Solution

The fourth proportional to 955.08, 1,432.70 and 407.24 is: 610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.08 : 1,432.70 = 407.24 : x
  2. Step 2: Convert to fraction form
    955.08/1,432.70 = 407.24/x
  3. Step 3: Cross multiply
    955.08x = 1,432.70 × 407.24
  4. Step 4: Simplify right side
    955.08x = 583,452.75
  5. Step 5: Solve for x
    x = 583,452.75/955.08
  6. Step 6: Final answer
    x = 610.89

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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.