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Finding the Fourth Proportional to 370.70, 555.45 and 349.10

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Solution

The fourth proportional to 370.70, 555.45 and 349.10 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.70 : 555.45 = 349.10 : x
  2. Step 2: Convert to fraction form
    370.70/555.45 = 349.10/x
  3. Step 3: Cross multiply
    370.70x = 555.45 × 349.10
  4. Step 4: Simplify right side
    370.70x = 193,907.60
  5. Step 5: Solve for x
    x = 193,907.60/370.70
  6. Step 6: Final answer
    x = 523.08

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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.