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Finding the Fourth Proportional to 647.53, 969.46 and 473.65

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Solution

The fourth proportional to 647.53, 969.46 and 473.65 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.53 : 969.46 = 473.65 : x
  2. Step 2: Convert to fraction form
    647.53/969.46 = 473.65/x
  3. Step 3: Cross multiply
    647.53x = 969.46 × 473.65
  4. Step 4: Simplify right side
    647.53x = 459,184.73
  5. Step 5: Solve for x
    x = 459,184.73/647.53
  6. Step 6: Final answer
    x = 709.13

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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.