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Finding the Fourth Proportional to 647.23, 893.17 and 352.51

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Solution

The fourth proportional to 647.23, 893.17 and 352.51 is: 486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.23 : 893.17 = 352.51 : x
  2. Step 2: Convert to fraction form
    647.23/893.17 = 352.51/x
  3. Step 3: Cross multiply
    647.23x = 893.17 × 352.51
  4. Step 4: Simplify right side
    647.23x = 314,851.36
  5. Step 5: Solve for x
    x = 314,851.36/647.23
  6. Step 6: Final answer
    x = 486.46

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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.