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Finding the Fourth Proportional to 469.12, 706.27 and 325.84

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Solution

The fourth proportional to 469.12, 706.27 and 325.84 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 706.27 = 325.84 : x
  2. Step 2: Convert to fraction form
    469.12/706.27 = 325.84/x
  3. Step 3: Cross multiply
    469.12x = 706.27 × 325.84
  4. Step 4: Simplify right side
    469.12x = 230,131.02
  5. Step 5: Solve for x
    x = 230,131.02/469.12
  6. Step 6: Final answer
    x = 490.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.