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Finding the Fourth Proportional to 903.54, 1,354.77 and 355.32

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Solution

The fourth proportional to 903.54, 1,354.77 and 355.32 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.54 : 1,354.77 = 355.32 : x
  2. Step 2: Convert to fraction form
    903.54/1,354.77 = 355.32/x
  3. Step 3: Cross multiply
    903.54x = 1,354.77 × 355.32
  4. Step 4: Simplify right side
    903.54x = 481,376.88
  5. Step 5: Solve for x
    x = 481,376.88/903.54
  6. Step 6: Final answer
    x = 532.77

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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.