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Finding the Fourth Proportional to 452.69, 624.84 and 321.74

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Solution

The fourth proportional to 452.69, 624.84 and 321.74 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.69 : 624.84 = 321.74 : x
  2. Step 2: Convert to fraction form
    452.69/624.84 = 321.74/x
  3. Step 3: Cross multiply
    452.69x = 624.84 × 321.74
  4. Step 4: Simplify right side
    452.69x = 201,036.02
  5. Step 5: Solve for x
    x = 201,036.02/452.69
  6. Step 6: Final answer
    x = 444.09

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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.