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Finding the Fourth Proportional to 433.23, 598.02 and 294.07

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Solution

The fourth proportional to 433.23, 598.02 and 294.07 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 598.02 = 294.07 : x
  2. Step 2: Convert to fraction form
    433.23/598.02 = 294.07/x
  3. Step 3: Cross multiply
    433.23x = 598.02 × 294.07
  4. Step 4: Simplify right side
    433.23x = 175,859.74
  5. Step 5: Solve for x
    x = 175,859.74/433.23
  6. Step 6: Final answer
    x = 405.93

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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.