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Finding the Fourth Proportional to 617.67, 852.53 and 384.75

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Solution

The fourth proportional to 617.67, 852.53 and 384.75 is: 531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 852.53 = 384.75 : x
  2. Step 2: Convert to fraction form
    617.67/852.53 = 384.75/x
  3. Step 3: Cross multiply
    617.67x = 852.53 × 384.75
  4. Step 4: Simplify right side
    617.67x = 328,008.99
  5. Step 5: Solve for x
    x = 328,008.99/617.67
  6. Step 6: Final answer
    x = 531.04

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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.