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Finding the Fourth Proportional to 378.02, 522.69 and 360.50

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Solution

The fourth proportional to 378.02, 522.69 and 360.50 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 522.69 = 360.50 : x
  2. Step 2: Convert to fraction form
    378.02/522.69 = 360.50/x
  3. Step 3: Cross multiply
    378.02x = 522.69 × 360.50
  4. Step 4: Simplify right side
    378.02x = 188,429.75
  5. Step 5: Solve for x
    x = 188,429.75/378.02
  6. Step 6: Final answer
    x = 498.47

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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.