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Finding the Fourth Proportional to 433.72, 598.74 and 294.04

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Solution

The fourth proportional to 433.72, 598.74 and 294.04 is: 405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 598.74 = 294.04 : x
  2. Step 2: Convert to fraction form
    433.72/598.74 = 294.04/x
  3. Step 3: Cross multiply
    433.72x = 598.74 × 294.04
  4. Step 4: Simplify right side
    433.72x = 176,053.51
  5. Step 5: Solve for x
    x = 176,053.51/433.72
  6. Step 6: Final answer
    x = 405.92

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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.