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Finding the Fourth Proportional to 647.55, 893.48 and 385.52

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Solution

The fourth proportional to 647.55, 893.48 and 385.52 is: 531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.55 : 893.48 = 385.52 : x
  2. Step 2: Convert to fraction form
    647.55/893.48 = 385.52/x
  3. Step 3: Cross multiply
    647.55x = 893.48 × 385.52
  4. Step 4: Simplify right side
    647.55x = 344,448.01
  5. Step 5: Solve for x
    x = 344,448.01/647.55
  6. Step 6: Final answer
    x = 531.92

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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.