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Finding the Fourth Proportional to 433.98, 598.91 and 268.16

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Solution

The fourth proportional to 433.98, 598.91 and 268.16 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 598.91 = 268.16 : x
  2. Step 2: Convert to fraction form
    433.98/598.91 = 268.16/x
  3. Step 3: Cross multiply
    433.98x = 598.91 × 268.16
  4. Step 4: Simplify right side
    433.98x = 160,599.37
  5. Step 5: Solve for x
    x = 160,599.37/433.98
  6. Step 6: Final answer
    x = 370.06

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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.