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Finding the Fourth Proportional to 955.07, 1,432.91 and 407.28

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Solution

The fourth proportional to 955.07, 1,432.91 and 407.28 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.07 : 1,432.91 = 407.28 : x
  2. Step 2: Convert to fraction form
    955.07/1,432.91 = 407.28/x
  3. Step 3: Cross multiply
    955.07x = 1,432.91 × 407.28
  4. Step 4: Simplify right side
    955.07x = 583,595.58
  5. Step 5: Solve for x
    x = 583,595.58/955.07
  6. Step 6: Final answer
    x = 611.05

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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.