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Finding the Fourth Proportional to 383.18, 528.54 and 284.81

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Solution

The fourth proportional to 383.18, 528.54 and 284.81 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.18 : 528.54 = 284.81 : x
  2. Step 2: Convert to fraction form
    383.18/528.54 = 284.81/x
  3. Step 3: Cross multiply
    383.18x = 528.54 × 284.81
  4. Step 4: Simplify right side
    383.18x = 150,533.48
  5. Step 5: Solve for x
    x = 150,533.48/383.18
  6. Step 6: Final answer
    x = 392.85

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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.