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Finding the Fourth Proportional to 617.86, 852.58 and 369.15

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Solution

The fourth proportional to 617.86, 852.58 and 369.15 is: 509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.86 : 852.58 = 369.15 : x
  2. Step 2: Convert to fraction form
    617.86/852.58 = 369.15/x
  3. Step 3: Cross multiply
    617.86x = 852.58 × 369.15
  4. Step 4: Simplify right side
    617.86x = 314,727.17
  5. Step 5: Solve for x
    x = 314,727.17/617.86
  6. Step 6: Final answer
    x = 509.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.