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Finding the Fourth Proportional to 483.66, 724.64 and 433.26

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Solution

The fourth proportional to 483.66, 724.64 and 433.26 is: 649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.66 : 724.64 = 433.26 : x
  2. Step 2: Convert to fraction form
    483.66/724.64 = 433.26/x
  3. Step 3: Cross multiply
    483.66x = 724.64 × 433.26
  4. Step 4: Simplify right side
    483.66x = 313,955.36
  5. Step 5: Solve for x
    x = 313,955.36/483.66
  6. Step 6: Final answer
    x = 649.12

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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.