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Finding the Fourth Proportional to 617.34, 851.10 and 598.23

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Solution

The fourth proportional to 617.34, 851.10 and 598.23 is: 824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 851.10 = 598.23 : x
  2. Step 2: Convert to fraction form
    617.34/851.10 = 598.23/x
  3. Step 3: Cross multiply
    617.34x = 851.10 × 598.23
  4. Step 4: Simplify right side
    617.34x = 509,153.55
  5. Step 5: Solve for x
    x = 509,153.55/617.34
  6. Step 6: Final answer
    x = 824.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.