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Finding the Fourth Proportional to 471.48, 705.64 and 355.20

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Solution

The fourth proportional to 471.48, 705.64 and 355.20 is: 531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 705.64 = 355.20 : x
  2. Step 2: Convert to fraction form
    471.48/705.64 = 355.20/x
  3. Step 3: Cross multiply
    471.48x = 705.64 × 355.20
  4. Step 4: Simplify right side
    471.48x = 250,643.33
  5. Step 5: Solve for x
    x = 250,643.33/471.48
  6. Step 6: Final answer
    x = 531.61

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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.