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Finding the Fourth Proportional to 483.86, 720.84 and 460.64

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Solution

The fourth proportional to 483.86, 720.84 and 460.64 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.86 : 720.84 = 460.64 : x
  2. Step 2: Convert to fraction form
    483.86/720.84 = 460.64/x
  3. Step 3: Cross multiply
    483.86x = 720.84 × 460.64
  4. Step 4: Simplify right side
    483.86x = 332,044.13
  5. Step 5: Solve for x
    x = 332,044.13/483.86
  6. Step 6: Final answer
    x = 686.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.