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Finding the Fourth Proportional to 617.66, 852.38 and 369.16

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Solution

The fourth proportional to 617.66, 852.38 and 369.16 is: 509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 852.38 = 369.16 : x
  2. Step 2: Convert to fraction form
    617.66/852.38 = 369.16/x
  3. Step 3: Cross multiply
    617.66x = 852.38 × 369.16
  4. Step 4: Simplify right side
    617.66x = 314,664.60
  5. Step 5: Solve for x
    x = 314,664.60/617.66
  6. Step 6: Final answer
    x = 509.45

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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.