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Finding the Fourth Proportional to 307.56, 460.88 and 281.46

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Solution

The fourth proportional to 307.56, 460.88 and 281.46 is: 421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.56 : 460.88 = 281.46 : x
  2. Step 2: Convert to fraction form
    307.56/460.88 = 281.46/x
  3. Step 3: Cross multiply
    307.56x = 460.88 × 281.46
  4. Step 4: Simplify right side
    307.56x = 129,719.28
  5. Step 5: Solve for x
    x = 129,719.28/307.56
  6. Step 6: Final answer
    x = 421.77

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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.