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Finding the Fourth Proportional to 431.76, 595.94 and 298.99

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Solution

The fourth proportional to 431.76, 595.94 and 298.99 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 595.94 = 298.99 : x
  2. Step 2: Convert to fraction form
    431.76/595.94 = 298.99/x
  3. Step 3: Cross multiply
    431.76x = 595.94 × 298.99
  4. Step 4: Simplify right side
    431.76x = 178,181.03
  5. Step 5: Solve for x
    x = 178,181.03/431.76
  6. Step 6: Final answer
    x = 412.68

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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.