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Finding the Fourth Proportional to 354.45, 487.89 and 307.53

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Solution

The fourth proportional to 354.45, 487.89 and 307.53 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.45 : 487.89 = 307.53 : x
  2. Step 2: Convert to fraction form
    354.45/487.89 = 307.53/x
  3. Step 3: Cross multiply
    354.45x = 487.89 × 307.53
  4. Step 4: Simplify right side
    354.45x = 150,040.81
  5. Step 5: Solve for x
    x = 150,040.81/354.45
  6. Step 6: Final answer
    x = 423.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.