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Finding the Fourth Proportional to 466.47, 643.74 and 280.10

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Solution

The fourth proportional to 466.47, 643.74 and 280.10 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 643.74 = 280.10 : x
  2. Step 2: Convert to fraction form
    466.47/643.74 = 280.10/x
  3. Step 3: Cross multiply
    466.47x = 643.74 × 280.10
  4. Step 4: Simplify right side
    466.47x = 180,311.57
  5. Step 5: Solve for x
    x = 180,311.57/466.47
  6. Step 6: Final answer
    x = 386.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.