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Finding the Fourth Proportional to 443.16, 610.74 and 402.12

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Solution

The fourth proportional to 443.16, 610.74 and 402.12 is: 554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.16 : 610.74 = 402.12 : x
  2. Step 2: Convert to fraction form
    443.16/610.74 = 402.12/x
  3. Step 3: Cross multiply
    443.16x = 610.74 × 402.12
  4. Step 4: Simplify right side
    443.16x = 245,590.77
  5. Step 5: Solve for x
    x = 245,590.77/443.16
  6. Step 6: Final answer
    x = 554.18

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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.