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Finding the Fourth Proportional to 476.96, 657.90 and 290.35

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Solution

The fourth proportional to 476.96, 657.90 and 290.35 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 657.90 = 290.35 : x
  2. Step 2: Convert to fraction form
    476.96/657.90 = 290.35/x
  3. Step 3: Cross multiply
    476.96x = 657.90 × 290.35
  4. Step 4: Simplify right side
    476.96x = 191,019.62
  5. Step 5: Solve for x
    x = 191,019.62/476.96
  6. Step 6: Final answer
    x = 400.49

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