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Finding the Fourth Proportional to 473.78, 709.71 and 241.99

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Solution

The fourth proportional to 473.78, 709.71 and 241.99 is: 362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 709.71 = 241.99 : x
  2. Step 2: Convert to fraction form
    473.78/709.71 = 241.99/x
  3. Step 3: Cross multiply
    473.78x = 709.71 × 241.99
  4. Step 4: Simplify right side
    473.78x = 171,741.40
  5. Step 5: Solve for x
    x = 171,741.40/473.78
  6. Step 6: Final answer
    x = 362.49

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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.