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Finding the Fourth Proportional to 473.26, 710.02 and 184.78

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Solution

The fourth proportional to 473.26, 710.02 and 184.78 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.26 : 710.02 = 184.78 : x
  2. Step 2: Convert to fraction form
    473.26/710.02 = 184.78/x
  3. Step 3: Cross multiply
    473.26x = 710.02 × 184.78
  4. Step 4: Simplify right side
    473.26x = 131,197.50
  5. Step 5: Solve for x
    x = 131,197.50/473.26
  6. Step 6: Final answer
    x = 277.22

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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.