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Finding the Fourth Proportional to 380.62, 567.32 and 352.92

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Solution

The fourth proportional to 380.62, 567.32 and 352.92 is: 526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 567.32 = 352.92 : x
  2. Step 2: Convert to fraction form
    380.62/567.32 = 352.92/x
  3. Step 3: Cross multiply
    380.62x = 567.32 × 352.92
  4. Step 4: Simplify right side
    380.62x = 200,218.57
  5. Step 5: Solve for x
    x = 200,218.57/380.62
  6. Step 6: Final answer
    x = 526.03

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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.