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Finding the Fourth Proportional to 473.17, 709.87 and 376.04

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Solution

The fourth proportional to 473.17, 709.87 and 376.04 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.17 : 709.87 = 376.04 : x
  2. Step 2: Convert to fraction form
    473.17/709.87 = 376.04/x
  3. Step 3: Cross multiply
    473.17x = 709.87 × 376.04
  4. Step 4: Simplify right side
    473.17x = 266,935.97
  5. Step 5: Solve for x
    x = 266,935.97/473.17
  6. Step 6: Final answer
    x = 564.14

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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.