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Finding the Fourth Proportional to 368.02, 548.65 and 350.74

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Solution

The fourth proportional to 368.02, 548.65 and 350.74 is: 522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 548.65 = 350.74 : x
  2. Step 2: Convert to fraction form
    368.02/548.65 = 350.74/x
  3. Step 3: Cross multiply
    368.02x = 548.65 × 350.74
  4. Step 4: Simplify right side
    368.02x = 192,431.75
  5. Step 5: Solve for x
    x = 192,431.75/368.02
  6. Step 6: Final answer
    x = 522.88

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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.