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Finding the Fourth Proportional to 452.10, 675.82 and 335.46

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Solution

The fourth proportional to 452.10, 675.82 and 335.46 is: 501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.10 : 675.82 = 335.46 : x
  2. Step 2: Convert to fraction form
    452.10/675.82 = 335.46/x
  3. Step 3: Cross multiply
    452.10x = 675.82 × 335.46
  4. Step 4: Simplify right side
    452.10x = 226,710.58
  5. Step 5: Solve for x
    x = 226,710.58/452.10
  6. Step 6: Final answer
    x = 501.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.