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Finding the Fourth Proportional to 478.96, 659.68 and 419.83

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Solution

The fourth proportional to 478.96, 659.68 and 419.83 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 659.68 = 419.83 : x
  2. Step 2: Convert to fraction form
    478.96/659.68 = 419.83/x
  3. Step 3: Cross multiply
    478.96x = 659.68 × 419.83
  4. Step 4: Simplify right side
    478.96x = 276,953.45
  5. Step 5: Solve for x
    x = 276,953.45/478.96
  6. Step 6: Final answer
    x = 578.24

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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.