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Finding the Fourth Proportional to 433.98, 598.23 and 278.46

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Solution

The fourth proportional to 433.98, 598.23 and 278.46 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 598.23 = 278.46 : x
  2. Step 2: Convert to fraction form
    433.98/598.23 = 278.46/x
  3. Step 3: Cross multiply
    433.98x = 598.23 × 278.46
  4. Step 4: Simplify right side
    433.98x = 166,583.13
  5. Step 5: Solve for x
    x = 166,583.13/433.98
  6. Step 6: Final answer
    x = 383.85

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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.