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Finding the Fourth Proportional to 384.23, 530 and 335.23

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Solution

The fourth proportional to 384.23, 530 and 335.23 is: 462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.23 : 530 = 335.23 : x
  2. Step 2: Convert to fraction form
    384.23/530 = 335.23/x
  3. Step 3: Cross multiply
    384.23x = 530 × 335.23
  4. Step 4: Simplify right side
    384.23x = 177,671.90
  5. Step 5: Solve for x
    x = 177,671.90/384.23
  6. Step 6: Final answer
    x = 462.41

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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.