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Finding the Fourth Proportional to 469.48, 705.28 and 406.84

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Solution

The fourth proportional to 469.48, 705.28 and 406.84 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 705.28 = 406.84 : x
  2. Step 2: Convert to fraction form
    469.48/705.28 = 406.84/x
  3. Step 3: Cross multiply
    469.48x = 705.28 × 406.84
  4. Step 4: Simplify right side
    469.48x = 286,936.12
  5. Step 5: Solve for x
    x = 286,936.12/469.48
  6. Step 6: Final answer
    x = 611.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.