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Finding the Fourth Proportional to 645.14, 890.01 and 412.13

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Solution

The fourth proportional to 645.14, 890.01 and 412.13 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.14 : 890.01 = 412.13 : x
  2. Step 2: Convert to fraction form
    645.14/890.01 = 412.13/x
  3. Step 3: Cross multiply
    645.14x = 890.01 × 412.13
  4. Step 4: Simplify right side
    645.14x = 366,795.37
  5. Step 5: Solve for x
    x = 366,795.37/645.14
  6. Step 6: Final answer
    x = 568.56

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1.5x scale

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.