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Finding the Fourth Proportional to 452.80, 624.48 and 405.52

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Solution

The fourth proportional to 452.80, 624.48 and 405.52 is: 559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 624.48 = 405.52 : x
  2. Step 2: Convert to fraction form
    452.80/624.48 = 405.52/x
  3. Step 3: Cross multiply
    452.80x = 624.48 × 405.52
  4. Step 4: Simplify right side
    452.80x = 253,239.13
  5. Step 5: Solve for x
    x = 253,239.13/452.80
  6. Step 6: Final answer
    x = 559.27

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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.