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Finding the Fourth Proportional to 478.70, 660.63 and 282.34

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Solution

The fourth proportional to 478.70, 660.63 and 282.34 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.70 : 660.63 = 282.34 : x
  2. Step 2: Convert to fraction form
    478.70/660.63 = 282.34/x
  3. Step 3: Cross multiply
    478.70x = 660.63 × 282.34
  4. Step 4: Simplify right side
    478.70x = 186,522.27
  5. Step 5: Solve for x
    x = 186,522.27/478.70
  6. Step 6: Final answer
    x = 389.64

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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.