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Finding the Fourth Proportional to 478.96, 660.84 and 282.40

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Solution

The fourth proportional to 478.96, 660.84 and 282.40 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 660.84 = 282.40 : x
  2. Step 2: Convert to fraction form
    478.96/660.84 = 282.40/x
  3. Step 3: Cross multiply
    478.96x = 660.84 × 282.40
  4. Step 4: Simplify right side
    478.96x = 186,621.22
  5. Step 5: Solve for x
    x = 186,621.22/478.96
  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.