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Finding the Fourth Proportional to 452.66, 677.91 and 349.11

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Solution

The fourth proportional to 452.66, 677.91 and 349.11 is: 522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 677.91 = 349.11 : x
  2. Step 2: Convert to fraction form
    452.66/677.91 = 349.11/x
  3. Step 3: Cross multiply
    452.66x = 677.91 × 349.11
  4. Step 4: Simplify right side
    452.66x = 236,665.16
  5. Step 5: Solve for x
    x = 236,665.16/452.66
  6. Step 6: Final answer
    x = 522.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.