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Finding the Fourth Proportional to 955.04, 1,432.25 and 305.62

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Solution

The fourth proportional to 955.04, 1,432.25 and 305.62 is: 458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.04 : 1,432.25 = 305.62 : x
  2. Step 2: Convert to fraction form
    955.04/1,432.25 = 305.62/x
  3. Step 3: Cross multiply
    955.04x = 1,432.25 × 305.62
  4. Step 4: Simplify right side
    955.04x = 437,715.56
  5. Step 5: Solve for x
    x = 437,715.56/955.04
  6. Step 6: Final answer
    x = 458.32

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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.