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Finding the Fourth Proportional to 617.50, 851.66 and 430.98

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Solution

The fourth proportional to 617.50, 851.66 and 430.98 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.50 : 851.66 = 430.98 : x
  2. Step 2: Convert to fraction form
    617.50/851.66 = 430.98/x
  3. Step 3: Cross multiply
    617.50x = 851.66 × 430.98
  4. Step 4: Simplify right side
    617.50x = 367,048.43
  5. Step 5: Solve for x
    x = 367,048.43/617.50
  6. Step 6: Final answer
    x = 594.41

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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.