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Finding the Fourth Proportional to 617.80, 852.42 and 421.72

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Solution

The fourth proportional to 617.80, 852.42 and 421.72 is: 581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 852.42 = 421.72 : x
  2. Step 2: Convert to fraction form
    617.80/852.42 = 421.72/x
  3. Step 3: Cross multiply
    617.80x = 852.42 × 421.72
  4. Step 4: Simplify right side
    617.80x = 359,482.56
  5. Step 5: Solve for x
    x = 359,482.56/617.80
  6. Step 6: Final answer
    x = 581.88

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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.