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Finding the Fourth Proportional to 485.65, 670.01 and 289.15

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Solution

The fourth proportional to 485.65, 670.01 and 289.15 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.65 : 670.01 = 289.15 : x
  2. Step 2: Convert to fraction form
    485.65/670.01 = 289.15/x
  3. Step 3: Cross multiply
    485.65x = 670.01 × 289.15
  4. Step 4: Simplify right side
    485.65x = 193,733.39
  5. Step 5: Solve for x
    x = 193,733.39/485.65
  6. Step 6: Final answer
    x = 398.92

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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.