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Finding the Fourth Proportional to 419.39, 578.80 and 295.35

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Solution

The fourth proportional to 419.39, 578.80 and 295.35 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.39 : 578.80 = 295.35 : x
  2. Step 2: Convert to fraction form
    419.39/578.80 = 295.35/x
  3. Step 3: Cross multiply
    419.39x = 578.80 × 295.35
  4. Step 4: Simplify right side
    419.39x = 170,948.58
  5. Step 5: Solve for x
    x = 170,948.58/419.39
  6. Step 6: Final answer
    x = 407.61

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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.