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Finding the Fourth Proportional to 904.15, 1,356.23 and 416.94

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Solution

The fourth proportional to 904.15, 1,356.23 and 416.94 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.15 : 1,356.23 = 416.94 : x
  2. Step 2: Convert to fraction form
    904.15/1,356.23 = 416.94/x
  3. Step 3: Cross multiply
    904.15x = 1,356.23 × 416.94
  4. Step 4: Simplify right side
    904.15x = 565,466.54
  5. Step 5: Solve for x
    x = 565,466.54/904.15
  6. Step 6: Final answer
    x = 625.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.