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Finding the Fourth Proportional to 617.52, 851.76 and 384.24

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Solution

The fourth proportional to 617.52, 851.76 and 384.24 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 851.76 = 384.24 : x
  2. Step 2: Convert to fraction form
    617.52/851.76 = 384.24/x
  3. Step 3: Cross multiply
    617.52x = 851.76 × 384.24
  4. Step 4: Simplify right side
    617.52x = 327,280.26
  5. Step 5: Solve for x
    x = 327,280.26/617.52
  6. Step 6: Final answer
    x = 529.99

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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.