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Finding the Fourth Proportional to 453.48, 624.52 and 408.84

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Solution

The fourth proportional to 453.48, 624.52 and 408.84 is: 563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.48 : 624.52 = 408.84 : x
  2. Step 2: Convert to fraction form
    453.48/624.52 = 408.84/x
  3. Step 3: Cross multiply
    453.48x = 624.52 × 408.84
  4. Step 4: Simplify right side
    453.48x = 255,328.76
  5. Step 5: Solve for x
    x = 255,328.76/453.48
  6. Step 6: Final answer
    x = 563.04

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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.