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Finding the Fourth Proportional to 475.06, 654.74 and 364.34

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Solution

The fourth proportional to 475.06, 654.74 and 364.34 is: 502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.06 : 654.74 = 364.34 : x
  2. Step 2: Convert to fraction form
    475.06/654.74 = 364.34/x
  3. Step 3: Cross multiply
    475.06x = 654.74 × 364.34
  4. Step 4: Simplify right side
    475.06x = 238,550.52
  5. Step 5: Solve for x
    x = 238,550.52/475.06
  6. Step 6: Final answer
    x = 502.15

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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.