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Finding the Fourth Proportional to 616.95, 851.04 and 384.21

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Solution

The fourth proportional to 616.95, 851.04 and 384.21 is: 529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 851.04 = 384.21 : x
  2. Step 2: Convert to fraction form
    616.95/851.04 = 384.21/x
  3. Step 3: Cross multiply
    616.95x = 851.04 × 384.21
  4. Step 4: Simplify right side
    616.95x = 326,978.08
  5. Step 5: Solve for x
    x = 326,978.08/616.95
  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.