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Finding the Fourth Proportional to 904.04, 1,356.11 and 416.96

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Solution

The fourth proportional to 904.04, 1,356.11 and 416.96 is: 625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.04 : 1,356.11 = 416.96 : x
  2. Step 2: Convert to fraction form
    904.04/1,356.11 = 416.96/x
  3. Step 3: Cross multiply
    904.04x = 1,356.11 × 416.96
  4. Step 4: Simplify right side
    904.04x = 565,441.54
  5. Step 5: Solve for x
    x = 565,441.54/904.04
  6. Step 6: Final answer
    x = 625.46

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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.