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Finding the Fourth Proportional to 370.40, 514.70 and 366.64

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Solution

The fourth proportional to 370.40, 514.70 and 366.64 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 514.70 = 366.64 : x
  2. Step 2: Convert to fraction form
    370.40/514.70 = 366.64/x
  3. Step 3: Cross multiply
    370.40x = 514.70 × 366.64
  4. Step 4: Simplify right side
    370.40x = 188,709.61
  5. Step 5: Solve for x
    x = 188,709.61/370.40
  6. Step 6: Final answer
    x = 509.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.