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Finding the Fourth Proportional to 478.96, 719.08 and 284.32

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Solution

The fourth proportional to 478.96, 719.08 and 284.32 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 719.08 = 284.32 : x
  2. Step 2: Convert to fraction form
    478.96/719.08 = 284.32/x
  3. Step 3: Cross multiply
    478.96x = 719.08 × 284.32
  4. Step 4: Simplify right side
    478.96x = 204,448.83
  5. Step 5: Solve for x
    x = 204,448.83/478.96
  6. Step 6: Final answer
    x = 426.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.