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Finding the Fourth Proportional to 452.23, 624.08 and 253.06

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Solution

The fourth proportional to 452.23, 624.08 and 253.06 is: 349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 624.08 = 253.06 : x
  2. Step 2: Convert to fraction form
    452.23/624.08 = 253.06/x
  3. Step 3: Cross multiply
    452.23x = 624.08 × 253.06
  4. Step 4: Simplify right side
    452.23x = 157,929.68
  5. Step 5: Solve for x
    x = 157,929.68/452.23
  6. Step 6: Final answer
    x = 349.22

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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.