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Finding the Fourth Proportional to 344.01, 513.52 and 320.95

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Solution

The fourth proportional to 344.01, 513.52 and 320.95 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.01 : 513.52 = 320.95 : x
  2. Step 2: Convert to fraction form
    344.01/513.52 = 320.95/x
  3. Step 3: Cross multiply
    344.01x = 513.52 × 320.95
  4. Step 4: Simplify right side
    344.01x = 164,812.64
  5. Step 5: Solve for x
    x = 164,812.64/344.01
  6. Step 6: Final answer
    x = 479.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.