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Finding the Fourth Proportional to 647.66, 969.94 and 354.72

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Solution

The fourth proportional to 647.66, 969.94 and 354.72 is: 531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 969.94 = 354.72 : x
  2. Step 2: Convert to fraction form
    647.66/969.94 = 354.72/x
  3. Step 3: Cross multiply
    647.66x = 969.94 × 354.72
  4. Step 4: Simplify right side
    647.66x = 344,061.20
  5. Step 5: Solve for x
    x = 344,061.20/647.66
  6. Step 6: Final answer
    x = 531.24

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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.