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Finding the Fourth Proportional to 443.65, 612.17 and 257.16

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Solution

The fourth proportional to 443.65, 612.17 and 257.16 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 612.17 = 257.16 : x
  2. Step 2: Convert to fraction form
    443.65/612.17 = 257.16/x
  3. Step 3: Cross multiply
    443.65x = 612.17 × 257.16
  4. Step 4: Simplify right side
    443.65x = 157,423.22
  5. Step 5: Solve for x
    x = 157,423.22/443.65
  6. Step 6: Final answer
    x = 354.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.