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Finding the Fourth Proportional to 645.67, 890.75 and 383.63

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Solution

The fourth proportional to 645.67, 890.75 and 383.63 is: 529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.67 : 890.75 = 383.63 : x
  2. Step 2: Convert to fraction form
    645.67/890.75 = 383.63/x
  3. Step 3: Cross multiply
    645.67x = 890.75 × 383.63
  4. Step 4: Simplify right side
    645.67x = 341,716.50
  5. Step 5: Solve for x
    x = 341,716.50/645.67
  6. Step 6: Final answer
    x = 529.25

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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.