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Finding the Fourth Proportional to 645.31, 890.53 and 383.38

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Solution

The fourth proportional to 645.31, 890.53 and 383.38 is: 529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.31 : 890.53 = 383.38 : x
  2. Step 2: Convert to fraction form
    645.31/890.53 = 383.38/x
  3. Step 3: Cross multiply
    645.31x = 890.53 × 383.38
  4. Step 4: Simplify right side
    645.31x = 341,411.39
  5. Step 5: Solve for x
    x = 341,411.39/645.31
  6. Step 6: Final answer
    x = 529.07

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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.