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Finding the Fourth Proportional to 433.06, 597.36 and 264.94

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Solution

The fourth proportional to 433.06, 597.36 and 264.94 is: 365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.06 : 597.36 = 264.94 : x
  2. Step 2: Convert to fraction form
    433.06/597.36 = 264.94/x
  3. Step 3: Cross multiply
    433.06x = 597.36 × 264.94
  4. Step 4: Simplify right side
    433.06x = 158,264.56
  5. Step 5: Solve for x
    x = 158,264.56/433.06
  6. Step 6: Final answer
    x = 365.46

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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.