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Finding the Fourth Proportional to 452.14, 624.45 and 446.07

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Solution

The fourth proportional to 452.14, 624.45 and 446.07 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.14 : 624.45 = 446.07 : x
  2. Step 2: Convert to fraction form
    452.14/624.45 = 446.07/x
  3. Step 3: Cross multiply
    452.14x = 624.45 × 446.07
  4. Step 4: Simplify right side
    452.14x = 278,548.41
  5. Step 5: Solve for x
    x = 278,548.41/452.14
  6. Step 6: Final answer
    x = 616.07

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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.