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Finding the Fourth Proportional to 485.08, 669.43 and 298.66

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Solution

The fourth proportional to 485.08, 669.43 and 298.66 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.08 : 669.43 = 298.66 : x
  2. Step 2: Convert to fraction form
    485.08/669.43 = 298.66/x
  3. Step 3: Cross multiply
    485.08x = 669.43 × 298.66
  4. Step 4: Simplify right side
    485.08x = 199,931.96
  5. Step 5: Solve for x
    x = 199,931.96/485.08
  6. Step 6: Final answer
    x = 412.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.