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Finding the Fourth Proportional to 955.11, 1,432.64 and 305.85

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Solution

The fourth proportional to 955.11, 1,432.64 and 305.85 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.11 : 1,432.64 = 305.85 : x
  2. Step 2: Convert to fraction form
    955.11/1,432.64 = 305.85/x
  3. Step 3: Cross multiply
    955.11x = 1,432.64 × 305.85
  4. Step 4: Simplify right side
    955.11x = 438,173.71
  5. Step 5: Solve for x
    x = 438,173.71/955.11
  6. Step 6: Final answer
    x = 458.77

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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.