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Finding the Fourth Proportional to 398.07, 596.59 and 294.53

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Solution

The fourth proportional to 398.07, 596.59 and 294.53 is: 441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.07 : 596.59 = 294.53 : x
  2. Step 2: Convert to fraction form
    398.07/596.59 = 294.53/x
  3. Step 3: Cross multiply
    398.07x = 596.59 × 294.53
  4. Step 4: Simplify right side
    398.07x = 175,709.93
  5. Step 5: Solve for x
    x = 175,709.93/398.07
  6. Step 6: Final answer
    x = 441.40

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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.