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Finding the Fourth Proportional to 647.24, 893.20 and 352.52

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Solution

The fourth proportional to 647.24, 893.20 and 352.52 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 893.20 = 352.52 : x
  2. Step 2: Convert to fraction form
    647.24/893.20 = 352.52/x
  3. Step 3: Cross multiply
    647.24x = 893.20 × 352.52
  4. Step 4: Simplify right side
    647.24x = 314,870.86
  5. Step 5: Solve for x
    x = 314,870.86/647.24
  6. Step 6: Final answer
    x = 486.48

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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.