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Finding the Fourth Proportional to 369.60, 551.04 and 361.08

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Solution

The fourth proportional to 369.60, 551.04 and 361.08 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 551.04 = 361.08 : x
  2. Step 2: Convert to fraction form
    369.60/551.04 = 361.08/x
  3. Step 3: Cross multiply
    369.60x = 551.04 × 361.08
  4. Step 4: Simplify right side
    369.60x = 198,969.52
  5. Step 5: Solve for x
    x = 198,969.52/369.60
  6. Step 6: Final answer
    x = 538.34

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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.