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Finding the Fourth Proportional to 473.05, 709.61 and 148.41

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Solution

The fourth proportional to 473.05, 709.61 and 148.41 is: 222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.05 : 709.61 = 148.41 : x
  2. Step 2: Convert to fraction form
    473.05/709.61 = 148.41/x
  3. Step 3: Cross multiply
    473.05x = 709.61 × 148.41
  4. Step 4: Simplify right side
    473.05x = 105,312.48
  5. Step 5: Solve for x
    x = 105,312.48/473.05
  6. Step 6: Final answer
    x = 222.63

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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.