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Finding the Fourth Proportional to 601.68, 903.12 and 341.99

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Solution

The fourth proportional to 601.68, 903.12 and 341.99 is: 513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 903.12 = 341.99 : x
  2. Step 2: Convert to fraction form
    601.68/903.12 = 341.99/x
  3. Step 3: Cross multiply
    601.68x = 903.12 × 341.99
  4. Step 4: Simplify right side
    601.68x = 308,853.49
  5. Step 5: Solve for x
    x = 308,853.49/601.68
  6. Step 6: Final answer
    x = 513.32

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