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Finding the Fourth Proportional to 485.86, 670.14 and 469.79

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Solution

The fourth proportional to 485.86, 670.14 and 469.79 is: 647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.86 : 670.14 = 469.79 : x
  2. Step 2: Convert to fraction form
    485.86/670.14 = 469.79/x
  3. Step 3: Cross multiply
    485.86x = 670.14 × 469.79
  4. Step 4: Simplify right side
    485.86x = 314,821.72
  5. Step 5: Solve for x
    x = 314,821.72/485.86
  6. Step 6: Final answer
    x = 647.97

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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.