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Finding the Fourth Proportional to 383.70, 528.57 and 305.94

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Solution

The fourth proportional to 383.70, 528.57 and 305.94 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.70 : 528.57 = 305.94 : x
  2. Step 2: Convert to fraction form
    383.70/528.57 = 305.94/x
  3. Step 3: Cross multiply
    383.70x = 528.57 × 305.94
  4. Step 4: Simplify right side
    383.70x = 161,710.71
  5. Step 5: Solve for x
    x = 161,710.71/383.70
  6. Step 6: Final answer
    x = 421.45

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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.