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Finding the Fourth Proportional to 630.09, 869.31 and 433.26

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Solution

The fourth proportional to 630.09, 869.31 and 433.26 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.09 : 869.31 = 433.26 : x
  2. Step 2: Convert to fraction form
    630.09/869.31 = 433.26/x
  3. Step 3: Cross multiply
    630.09x = 869.31 × 433.26
  4. Step 4: Simplify right side
    630.09x = 376,637.25
  5. Step 5: Solve for x
    x = 376,637.25/630.09
  6. Step 6: Final answer
    x = 597.75

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