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Finding the Fourth Proportional to 896.16, 1,344.32 and 348.30

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Solution

The fourth proportional to 896.16, 1,344.32 and 348.30 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,344.32 = 348.30 : x
  2. Step 2: Convert to fraction form
    896.16/1,344.32 = 348.30/x
  3. Step 3: Cross multiply
    896.16x = 1,344.32 × 348.30
  4. Step 4: Simplify right side
    896.16x = 468,226.66
  5. Step 5: Solve for x
    x = 468,226.66/896.16
  6. Step 6: Final answer
    x = 522.48

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1.5x scale

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.