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Finding the Fourth Proportional to 648.16, 894.14 and 412.40

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Solution

The fourth proportional to 648.16, 894.14 and 412.40 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 894.14 = 412.40 : x
  2. Step 2: Convert to fraction form
    648.16/894.14 = 412.40/x
  3. Step 3: Cross multiply
    648.16x = 894.14 × 412.40
  4. Step 4: Simplify right side
    648.16x = 368,743.34
  5. Step 5: Solve for x
    x = 368,743.34/648.16
  6. Step 6: Final answer
    x = 568.91

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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.