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Finding the Fourth Proportional to 483.42, 723.24 and 434.22

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Solution

The fourth proportional to 483.42, 723.24 and 434.22 is: 649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.42 : 723.24 = 434.22 : x
  2. Step 2: Convert to fraction form
    483.42/723.24 = 434.22/x
  3. Step 3: Cross multiply
    483.42x = 723.24 × 434.22
  4. Step 4: Simplify right side
    483.42x = 314,045.27
  5. Step 5: Solve for x
    x = 314,045.27/483.42
  6. Step 6: Final answer
    x = 649.63

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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.