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Finding the Fourth Proportional to 476.56, 657.60 and 290.32

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Solution

The fourth proportional to 476.56, 657.60 and 290.32 is: 400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 657.60 = 290.32 : x
  2. Step 2: Convert to fraction form
    476.56/657.60 = 290.32/x
  3. Step 3: Cross multiply
    476.56x = 657.60 × 290.32
  4. Step 4: Simplify right side
    476.56x = 190,914.43
  5. Step 5: Solve for x
    x = 190,914.43/476.56
  6. Step 6: Final answer
    x = 400.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.