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Finding the Fourth Proportional to 443.65, 611.64 and 382.14

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Solution

The fourth proportional to 443.65, 611.64 and 382.14 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.65 : 611.64 = 382.14 : x
  2. Step 2: Convert to fraction form
    443.65/611.64 = 382.14/x
  3. Step 3: Cross multiply
    443.65x = 611.64 × 382.14
  4. Step 4: Simplify right side
    443.65x = 233,732.11
  5. Step 5: Solve for x
    x = 233,732.11/443.65
  6. Step 6: Final answer
    x = 526.84

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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.