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Finding the Fourth Proportional to 617.61, 852.24 and 369

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Solution

The fourth proportional to 617.61, 852.24 and 369 is: 509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.61 : 852.24 = 369 : x
  2. Step 2: Convert to fraction form
    617.61/852.24 = 369/x
  3. Step 3: Cross multiply
    617.61x = 852.24 × 369
  4. Step 4: Simplify right side
    617.61x = 314,476.56
  5. Step 5: Solve for x
    x = 314,476.56/617.61
  6. Step 6: Final answer
    x = 509.18

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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.