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Finding the Fourth Proportional to 433.23, 597.87 and 258.63

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Solution

The fourth proportional to 433.23, 597.87 and 258.63 is: 356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 597.87 = 258.63 : x
  2. Step 2: Convert to fraction form
    433.23/597.87 = 258.63/x
  3. Step 3: Cross multiply
    433.23x = 597.87 × 258.63
  4. Step 4: Simplify right side
    433.23x = 154,627.12
  5. Step 5: Solve for x
    x = 154,627.12/433.23
  6. Step 6: Final answer
    x = 356.92

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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.