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Finding the Fourth Proportional to 452.59, 624.63 and 266.15

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Solution

The fourth proportional to 452.59, 624.63 and 266.15 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.59 : 624.63 = 266.15 : x
  2. Step 2: Convert to fraction form
    452.59/624.63 = 266.15/x
  3. Step 3: Cross multiply
    452.59x = 624.63 × 266.15
  4. Step 4: Simplify right side
    452.59x = 166,240.82
  5. Step 5: Solve for x
    x = 166,240.82/452.59
  6. Step 6: Final answer
    x = 367.31

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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.