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Finding the Fourth Proportional to 617.50, 852.16 and 341.50

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Solution

The fourth proportional to 617.50, 852.16 and 341.50 is: 471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 852.16 = 341.50 : x
  2. Step 2: Convert to fraction form
    617.50/852.16 = 341.50/x
  3. Step 3: Cross multiply
    617.50x = 852.16 × 341.50
  4. Step 4: Simplify right side
    617.50x = 291,012.64
  5. Step 5: Solve for x
    x = 291,012.64/617.50
  6. Step 6: Final answer
    x = 471.28

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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.