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Finding the Fourth Proportional to 420.15, 578.91 and 295.62

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Solution

The fourth proportional to 420.15, 578.91 and 295.62 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.15 : 578.91 = 295.62 : x
  2. Step 2: Convert to fraction form
    420.15/578.91 = 295.62/x
  3. Step 3: Cross multiply
    420.15x = 578.91 × 295.62
  4. Step 4: Simplify right side
    420.15x = 171,137.37
  5. Step 5: Solve for x
    x = 171,137.37/420.15
  6. Step 6: Final answer
    x = 407.32

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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.