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Finding the Fourth Proportional to 452.13, 623.77 and 265.63

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Solution

The fourth proportional to 452.13, 623.77 and 265.63 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 623.77 = 265.63 : x
  2. Step 2: Convert to fraction form
    452.13/623.77 = 265.63/x
  3. Step 3: Cross multiply
    452.13x = 623.77 × 265.63
  4. Step 4: Simplify right side
    452.13x = 165,687.58
  5. Step 5: Solve for x
    x = 165,687.58/452.13
  6. Step 6: Final answer
    x = 366.46

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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.