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Finding the Fourth Proportional to 647.78, 894.57 and 412.17

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Solution

The fourth proportional to 647.78, 894.57 and 412.17 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 894.57 = 412.17 : x
  2. Step 2: Convert to fraction form
    647.78/894.57 = 412.17/x
  3. Step 3: Cross multiply
    647.78x = 894.57 × 412.17
  4. Step 4: Simplify right side
    647.78x = 368,710.02
  5. Step 5: Solve for x
    x = 368,710.02/647.78
  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.