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Finding the Fourth Proportional to 471.14, 705.80 and 265.08

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Solution

The fourth proportional to 471.14, 705.80 and 265.08 is: 397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 705.80 = 265.08 : x
  2. Step 2: Convert to fraction form
    471.14/705.80 = 265.08/x
  3. Step 3: Cross multiply
    471.14x = 705.80 × 265.08
  4. Step 4: Simplify right side
    471.14x = 187,093.46
  5. Step 5: Solve for x
    x = 187,093.46/471.14
  6. Step 6: Final answer
    x = 397.11

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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.