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Finding the Fourth Proportional to 485.77, 670.35 and 264.71

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Solution

The fourth proportional to 485.77, 670.35 and 264.71 is: 365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 670.35 = 264.71 : x
  2. Step 2: Convert to fraction form
    485.77/670.35 = 264.71/x
  3. Step 3: Cross multiply
    485.77x = 670.35 × 264.71
  4. Step 4: Simplify right side
    485.77x = 177,448.35
  5. Step 5: Solve for x
    x = 177,448.35/485.77
  6. Step 6: Final answer
    x = 365.29

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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.