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Finding the Fourth Proportional to 378.03, 522.20 and 358.32

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Solution

The fourth proportional to 378.03, 522.20 and 358.32 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.03 : 522.20 = 358.32 : x
  2. Step 2: Convert to fraction form
    378.03/522.20 = 358.32/x
  3. Step 3: Cross multiply
    378.03x = 522.20 × 358.32
  4. Step 4: Simplify right side
    378.03x = 187,114.70
  5. Step 5: Solve for x
    x = 187,114.70/378.03
  6. Step 6: Final answer
    x = 494.98

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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.