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Finding the Fourth Proportional to 629.04, 867.63 and 433.02

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Solution

The fourth proportional to 629.04, 867.63 and 433.02 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.04 : 867.63 = 433.02 : x
  2. Step 2: Convert to fraction form
    629.04/867.63 = 433.02/x
  3. Step 3: Cross multiply
    629.04x = 867.63 × 433.02
  4. Step 4: Simplify right side
    629.04x = 375,701.14
  5. Step 5: Solve for x
    x = 375,701.14/629.04
  6. Step 6: Final answer
    x = 597.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.