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Finding the Fourth Proportional to 485.36, 669.29 and 457.46

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Solution

The fourth proportional to 485.36, 669.29 and 457.46 is: 630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.36 : 669.29 = 457.46 : x
  2. Step 2: Convert to fraction form
    485.36/669.29 = 457.46/x
  3. Step 3: Cross multiply
    485.36x = 669.29 × 457.46
  4. Step 4: Simplify right side
    485.36x = 306,167.77
  5. Step 5: Solve for x
    x = 306,167.77/485.36
  6. Step 6: Final answer
    x = 630.81

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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.