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Finding the Fourth Proportional to 427.60, 643.66 and 364.96

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Solution

The fourth proportional to 427.60, 643.66 and 364.96 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 643.66 = 364.96 : x
  2. Step 2: Convert to fraction form
    427.60/643.66 = 364.96/x
  3. Step 3: Cross multiply
    427.60x = 643.66 × 364.96
  4. Step 4: Simplify right side
    427.60x = 234,905.11
  5. Step 5: Solve for x
    x = 234,905.11/427.60
  6. Step 6: Final answer
    x = 549.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.