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Finding the Fourth Proportional to 452.24, 624.11 and 265.72

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Solution

The fourth proportional to 452.24, 624.11 and 265.72 is: 366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 624.11 = 265.72 : x
  2. Step 2: Convert to fraction form
    452.24/624.11 = 265.72/x
  3. Step 3: Cross multiply
    452.24x = 624.11 × 265.72
  4. Step 4: Simplify right side
    452.24x = 165,838.51
  5. Step 5: Solve for x
    x = 165,838.51/452.24
  6. Step 6: Final answer
    x = 366.70

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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.