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Finding the Fourth Proportional to 483.86, 725.21 and 278.52

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Solution

The fourth proportional to 483.86, 725.21 and 278.52 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 725.21 = 278.52 : x
  2. Step 2: Convert to fraction form
    483.86/725.21 = 278.52/x
  3. Step 3: Cross multiply
    483.86x = 725.21 × 278.52
  4. Step 4: Simplify right side
    483.86x = 201,984.10
  5. Step 5: Solve for x
    x = 201,984.10/483.86
  6. Step 6: Final answer
    x = 417.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.