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Finding the Fourth Proportional to 419.47, 578.62 and 295.24

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Solution

The fourth proportional to 419.47, 578.62 and 295.24 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.47 : 578.62 = 295.24 : x
  2. Step 2: Convert to fraction form
    419.47/578.62 = 295.24/x
  3. Step 3: Cross multiply
    419.47x = 578.62 × 295.24
  4. Step 4: Simplify right side
    419.47x = 170,829.58
  5. Step 5: Solve for x
    x = 170,829.58/419.47
  6. Step 6: Final answer
    x = 407.25

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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.