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Finding the Fourth Proportional to 393.02, 589.29 and 284.90

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Solution

The fourth proportional to 393.02, 589.29 and 284.90 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.02 : 589.29 = 284.90 : x
  2. Step 2: Convert to fraction form
    393.02/589.29 = 284.90/x
  3. Step 3: Cross multiply
    393.02x = 589.29 × 284.90
  4. Step 4: Simplify right side
    393.02x = 167,888.72
  5. Step 5: Solve for x
    x = 167,888.72/393.02
  6. Step 6: Final answer
    x = 427.18

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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.