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Finding the Fourth Proportional to 617.59, 850.82 and 430.74

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Solution

The fourth proportional to 617.59, 850.82 and 430.74 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.59 : 850.82 = 430.74 : x
  2. Step 2: Convert to fraction form
    617.59/850.82 = 430.74/x
  3. Step 3: Cross multiply
    617.59x = 850.82 × 430.74
  4. Step 4: Simplify right side
    617.59x = 366,482.21
  5. Step 5: Solve for x
    x = 366,482.21/617.59
  6. Step 6: Final answer
    x = 593.41

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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.