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Finding the Fourth Proportional to 384.72, 530.46 and 285.27

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Solution

The fourth proportional to 384.72, 530.46 and 285.27 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 530.46 = 285.27 : x
  2. Step 2: Convert to fraction form
    384.72/530.46 = 285.27/x
  3. Step 3: Cross multiply
    384.72x = 530.46 × 285.27
  4. Step 4: Simplify right side
    384.72x = 151,324.32
  5. Step 5: Solve for x
    x = 151,324.32/384.72
  6. Step 6: Final answer
    x = 393.34

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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.