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Finding the Fourth Proportional to 903.44, 1,355.32 and 287.14

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Solution

The fourth proportional to 903.44, 1,355.32 and 287.14 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.44 : 1,355.32 = 287.14 : x
  2. Step 2: Convert to fraction form
    903.44/1,355.32 = 287.14/x
  3. Step 3: Cross multiply
    903.44x = 1,355.32 × 287.14
  4. Step 4: Simplify right side
    903.44x = 389,166.58
  5. Step 5: Solve for x
    x = 389,166.58/903.44
  6. Step 6: Final answer
    x = 430.76

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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.