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Finding the Fourth Proportional to 647.84, 894.65 and 412.23

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Solution

The fourth proportional to 647.84, 894.65 and 412.23 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 894.65 = 412.23 : x
  2. Step 2: Convert to fraction form
    647.84/894.65 = 412.23/x
  3. Step 3: Cross multiply
    647.84x = 894.65 × 412.23
  4. Step 4: Simplify right side
    647.84x = 368,801.57
  5. Step 5: Solve for x
    x = 368,801.57/647.84
  6. Step 6: Final answer
    x = 569.28

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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.