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Finding the Fourth Proportional to 398.94, 597.58 and 262.05

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Solution

The fourth proportional to 398.94, 597.58 and 262.05 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.94 : 597.58 = 262.05 : x
  2. Step 2: Convert to fraction form
    398.94/597.58 = 262.05/x
  3. Step 3: Cross multiply
    398.94x = 597.58 × 262.05
  4. Step 4: Simplify right side
    398.94x = 156,595.84
  5. Step 5: Solve for x
    x = 156,595.84/398.94
  6. Step 6: Final answer
    x = 392.53

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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.