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Finding the Fourth Proportional to 617.13, 852.30 and 506.97

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Solution

The fourth proportional to 617.13, 852.30 and 506.97 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.13 : 852.30 = 506.97 : x
  2. Step 2: Convert to fraction form
    617.13/852.30 = 506.97/x
  3. Step 3: Cross multiply
    617.13x = 852.30 × 506.97
  4. Step 4: Simplify right side
    617.13x = 432,090.53
  5. Step 5: Solve for x
    x = 432,090.53/617.13
  6. Step 6: Final answer
    x = 700.16

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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.