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Finding the Fourth Proportional to 485.78, 670.66 and 320.48

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Solution

The fourth proportional to 485.78, 670.66 and 320.48 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.78 : 670.66 = 320.48 : x
  2. Step 2: Convert to fraction form
    485.78/670.66 = 320.48/x
  3. Step 3: Cross multiply
    485.78x = 670.66 × 320.48
  4. Step 4: Simplify right side
    485.78x = 214,933.12
  5. Step 5: Solve for x
    x = 214,933.12/485.78
  6. Step 6: Final answer
    x = 442.45

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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.