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Finding the Fourth Proportional to 452.70, 624.42 and 266.13

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Solution

The fourth proportional to 452.70, 624.42 and 266.13 is: 367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.70 : 624.42 = 266.13 : x
  2. Step 2: Convert to fraction form
    452.70/624.42 = 266.13/x
  3. Step 3: Cross multiply
    452.70x = 624.42 × 266.13
  4. Step 4: Simplify right side
    452.70x = 166,176.89
  5. Step 5: Solve for x
    x = 166,176.89/452.70
  6. Step 6: Final answer
    x = 367.08

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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.