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Finding the Fourth Proportional to 384.44, 530.25 and 296.96

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Solution

The fourth proportional to 384.44, 530.25 and 296.96 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.44 : 530.25 = 296.96 : x
  2. Step 2: Convert to fraction form
    384.44/530.25 = 296.96/x
  3. Step 3: Cross multiply
    384.44x = 530.25 × 296.96
  4. Step 4: Simplify right side
    384.44x = 157,463.04
  5. Step 5: Solve for x
    x = 157,463.04/384.44
  6. Step 6: Final answer
    x = 409.59

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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.