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Finding the Fourth Proportional to 397.62, 594.59 and 294.93

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Solution

The fourth proportional to 397.62, 594.59 and 294.93 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.62 : 594.59 = 294.93 : x
  2. Step 2: Convert to fraction form
    397.62/594.59 = 294.93/x
  3. Step 3: Cross multiply
    397.62x = 594.59 × 294.93
  4. Step 4: Simplify right side
    397.62x = 175,360.95
  5. Step 5: Solve for x
    x = 175,360.95/397.62
  6. Step 6: Final answer
    x = 441.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.