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Finding the Fourth Proportional to 955.88, 1,433.86 and 307.10

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Solution

The fourth proportional to 955.88, 1,433.86 and 307.10 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.88 : 1,433.86 = 307.10 : x
  2. Step 2: Convert to fraction form
    955.88/1,433.86 = 307.10/x
  3. Step 3: Cross multiply
    955.88x = 1,433.86 × 307.10
  4. Step 4: Simplify right side
    955.88x = 440,338.41
  5. Step 5: Solve for x
    x = 440,338.41/955.88
  6. Step 6: Final answer
    x = 460.66

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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.