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Finding the Fourth Proportional to 483.48, 723.41 and 287.77

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Solution

The fourth proportional to 483.48, 723.41 and 287.77 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.48 : 723.41 = 287.77 : x
  2. Step 2: Convert to fraction form
    483.48/723.41 = 287.77/x
  3. Step 3: Cross multiply
    483.48x = 723.41 × 287.77
  4. Step 4: Simplify right side
    483.48x = 208,175.70
  5. Step 5: Solve for x
    x = 208,175.70/483.48
  6. Step 6: Final answer
    x = 430.58

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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.