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Finding the Fourth Proportional to 419.58, 579.57 and 288.36

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Solution

The fourth proportional to 419.58, 579.57 and 288.36 is: 398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 579.57 = 288.36 : x
  2. Step 2: Convert to fraction form
    419.58/579.57 = 288.36/x
  3. Step 3: Cross multiply
    419.58x = 579.57 × 288.36
  4. Step 4: Simplify right side
    419.58x = 167,124.81
  5. Step 5: Solve for x
    x = 167,124.81/419.58
  6. Step 6: Final answer
    x = 398.31

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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.