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Finding the Fourth Proportional to 465.44, 694.76 and 433.46

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Solution

The fourth proportional to 465.44, 694.76 and 433.46 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.44 : 694.76 = 433.46 : x
  2. Step 2: Convert to fraction form
    465.44/694.76 = 433.46/x
  3. Step 3: Cross multiply
    465.44x = 694.76 × 433.46
  4. Step 4: Simplify right side
    465.44x = 301,150.67
  5. Step 5: Solve for x
    x = 301,150.67/465.44
  6. Step 6: Final answer
    x = 647.02

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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.