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Finding the Fourth Proportional to 476.63, 657.95 and 290.19

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Solution

The fourth proportional to 476.63, 657.95 and 290.19 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.63 : 657.95 = 290.19 : x
  2. Step 2: Convert to fraction form
    476.63/657.95 = 290.19/x
  3. Step 3: Cross multiply
    476.63x = 657.95 × 290.19
  4. Step 4: Simplify right side
    476.63x = 190,927.94
  5. Step 5: Solve for x
    x = 190,927.94/476.63
  6. Step 6: Final answer
    x = 400.58

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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.