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Finding the Fourth Proportional to 484.89, 669.51 and 448.02

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Solution

The fourth proportional to 484.89, 669.51 and 448.02 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.89 : 669.51 = 448.02 : x
  2. Step 2: Convert to fraction form
    484.89/669.51 = 448.02/x
  3. Step 3: Cross multiply
    484.89x = 669.51 × 448.02
  4. Step 4: Simplify right side
    484.89x = 299,953.87
  5. Step 5: Solve for x
    x = 299,953.87/484.89
  6. Step 6: Final answer
    x = 618.60

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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.