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Finding the Fourth Proportional to 384.17, 530.03 and 334.97

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Solution

The fourth proportional to 384.17, 530.03 and 334.97 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.17 : 530.03 = 334.97 : x
  2. Step 2: Convert to fraction form
    384.17/530.03 = 334.97/x
  3. Step 3: Cross multiply
    384.17x = 530.03 × 334.97
  4. Step 4: Simplify right side
    384.17x = 177,544.15
  5. Step 5: Solve for x
    x = 177,544.15/384.17
  6. Step 6: Final answer
    x = 462.15

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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.