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Finding the Fourth Proportional to 617.32, 852.18 and 384.76

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Solution

The fourth proportional to 617.32, 852.18 and 384.76 is: 531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.32 : 852.18 = 384.76 : x
  2. Step 2: Convert to fraction form
    617.32/852.18 = 384.76/x
  3. Step 3: Cross multiply
    617.32x = 852.18 × 384.76
  4. Step 4: Simplify right side
    617.32x = 327,884.78
  5. Step 5: Solve for x
    x = 327,884.78/617.32
  6. Step 6: Final answer
    x = 531.14

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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.