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Finding the Fourth Proportional to 370.86, 509.48 and 368.70

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Solution

The fourth proportional to 370.86, 509.48 and 368.70 is: 506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 509.48 = 368.70 : x
  2. Step 2: Convert to fraction form
    370.86/509.48 = 368.70/x
  3. Step 3: Cross multiply
    370.86x = 509.48 × 368.70
  4. Step 4: Simplify right side
    370.86x = 187,843.43
  5. Step 5: Solve for x
    x = 187,843.43/370.86
  6. Step 6: Final answer
    x = 506.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.