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Finding the Fourth Proportional to 904.45, 1,356.87 and 288.22

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Solution

The fourth proportional to 904.45, 1,356.87 and 288.22 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.45 : 1,356.87 = 288.22 : x
  2. Step 2: Convert to fraction form
    904.45/1,356.87 = 288.22/x
  3. Step 3: Cross multiply
    904.45x = 1,356.87 × 288.22
  4. Step 4: Simplify right side
    904.45x = 391,077.07
  5. Step 5: Solve for x
    x = 391,077.07/904.45
  6. Step 6: Final answer
    x = 432.39

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