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Finding the Fourth Proportional to 485.46, 669.93 and 275.63

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Solution

The fourth proportional to 485.46, 669.93 and 275.63 is: 380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.46 : 669.93 = 275.63 : x
  2. Step 2: Convert to fraction form
    485.46/669.93 = 275.63/x
  3. Step 3: Cross multiply
    485.46x = 669.93 × 275.63
  4. Step 4: Simplify right side
    485.46x = 184,649.46
  5. Step 5: Solve for x
    x = 184,649.46/485.46
  6. Step 6: Final answer
    x = 380.36

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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.