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Finding the Fourth Proportional to 645.96, 890.75 and 383.93

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Solution

The fourth proportional to 645.96, 890.75 and 383.93 is: 529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.96 : 890.75 = 383.93 : x
  2. Step 2: Convert to fraction form
    645.96/890.75 = 383.93/x
  3. Step 3: Cross multiply
    645.96x = 890.75 × 383.93
  4. Step 4: Simplify right side
    645.96x = 341,979.27
  5. Step 5: Solve for x
    x = 341,979.27/645.96
  6. Step 6: Final answer
    x = 529.41

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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.