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Finding the Fourth Proportional to 647.29, 970.63 and 338.83

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Solution

The fourth proportional to 647.29, 970.63 and 338.83 is: 508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.29 : 970.63 = 338.83 : x
  2. Step 2: Convert to fraction form
    647.29/970.63 = 338.83/x
  3. Step 3: Cross multiply
    647.29x = 970.63 × 338.83
  4. Step 4: Simplify right side
    647.29x = 328,882.65
  5. Step 5: Solve for x
    x = 328,882.65/647.29
  6. Step 6: Final answer
    x = 508.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.