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Finding the Fourth Proportional to 645.33, 890.40 and 412.53

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Solution

The fourth proportional to 645.33, 890.40 and 412.53 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 890.40 = 412.53 : x
  2. Step 2: Convert to fraction form
    645.33/890.40 = 412.53/x
  3. Step 3: Cross multiply
    645.33x = 890.40 × 412.53
  4. Step 4: Simplify right side
    645.33x = 367,316.71
  5. Step 5: Solve for x
    x = 367,316.71/645.33
  6. Step 6: Final answer
    x = 569.19

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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.