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Finding the Fourth Proportional to 443.21, 661.50 and 384.38

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Solution

The fourth proportional to 443.21, 661.50 and 384.38 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.21 : 661.50 = 384.38 : x
  2. Step 2: Convert to fraction form
    443.21/661.50 = 384.38/x
  3. Step 3: Cross multiply
    443.21x = 661.50 × 384.38
  4. Step 4: Simplify right side
    443.21x = 254,264.06
  5. Step 5: Solve for x
    x = 254,264.06/443.21
  6. Step 6: Final answer
    x = 573.69

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Why These Related Problems?

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