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Finding the Fourth Proportional to 370.62, 555.59 and 233.25

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Solution

The fourth proportional to 370.62, 555.59 and 233.25 is: 349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.62 : 555.59 = 233.25 : x
  2. Step 2: Convert to fraction form
    370.62/555.59 = 233.25/x
  3. Step 3: Cross multiply
    370.62x = 555.59 × 233.25
  4. Step 4: Simplify right side
    370.62x = 129,590.20
  5. Step 5: Solve for x
    x = 129,590.20/370.62
  6. Step 6: Final answer
    x = 349.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.