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Finding the Fourth Proportional to 904.21, 1,356.64 and 356.09

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Solution

The fourth proportional to 904.21, 1,356.64 and 356.09 is: 534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.21 : 1,356.64 = 356.09 : x
  2. Step 2: Convert to fraction form
    904.21/1,356.64 = 356.09/x
  3. Step 3: Cross multiply
    904.21x = 1,356.64 × 356.09
  4. Step 4: Simplify right side
    904.21x = 483,077.37
  5. Step 5: Solve for x
    x = 483,077.37/904.21
  6. Step 6: Final answer
    x = 534.26

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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.