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Finding the Fourth Proportional to 369.72, 550.89 and 353.16

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Solution

The fourth proportional to 369.72, 550.89 and 353.16 is: 526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 550.89 = 353.16 : x
  2. Step 2: Convert to fraction form
    369.72/550.89 = 353.16/x
  3. Step 3: Cross multiply
    369.72x = 550.89 × 353.16
  4. Step 4: Simplify right side
    369.72x = 194,552.31
  5. Step 5: Solve for x
    x = 194,552.31/369.72
  6. Step 6: Final answer
    x = 526.22

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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.