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Finding the Fourth Proportional to 452.36, 624.42 and 354.28

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Solution

The fourth proportional to 452.36, 624.42 and 354.28 is: 489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.36 : 624.42 = 354.28 : x
  2. Step 2: Convert to fraction form
    452.36/624.42 = 354.28/x
  3. Step 3: Cross multiply
    452.36x = 624.42 × 354.28
  4. Step 4: Simplify right side
    452.36x = 221,219.52
  5. Step 5: Solve for x
    x = 221,219.52/452.36
  6. Step 6: Final answer
    x = 489.03

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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.