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Finding the Fourth Proportional to 955.23, 1,432.68 and 305.88

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Solution

The fourth proportional to 955.23, 1,432.68 and 305.88 is: 458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.23 : 1,432.68 = 305.88 : x
  2. Step 2: Convert to fraction form
    955.23/1,432.68 = 305.88/x
  3. Step 3: Cross multiply
    955.23x = 1,432.68 × 305.88
  4. Step 4: Simplify right side
    955.23x = 438,228.16
  5. Step 5: Solve for x
    x = 438,228.16/955.23
  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.