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Finding the Fourth Proportional to 433.13, 597.71 and 258.37

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Solution

The fourth proportional to 433.13, 597.71 and 258.37 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 597.71 = 258.37 : x
  2. Step 2: Convert to fraction form
    433.13/597.71 = 258.37/x
  3. Step 3: Cross multiply
    433.13x = 597.71 × 258.37
  4. Step 4: Simplify right side
    433.13x = 154,429.04
  5. Step 5: Solve for x
    x = 154,429.04/433.13
  6. Step 6: Final answer
    x = 356.54

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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.