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Finding the Fourth Proportional to 647.65, 893.77 and 352.93

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Solution

The fourth proportional to 647.65, 893.77 and 352.93 is: 487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.65 : 893.77 = 352.93 : x
  2. Step 2: Convert to fraction form
    647.65/893.77 = 352.93/x
  3. Step 3: Cross multiply
    647.65x = 893.77 × 352.93
  4. Step 4: Simplify right side
    647.65x = 315,438.25
  5. Step 5: Solve for x
    x = 315,438.25/647.65
  6. Step 6: Final answer
    x = 487.05

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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.