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Finding the Fourth Proportional to 578.34, 867.55 and 253.63

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Solution

The fourth proportional to 578.34, 867.55 and 253.63 is: 380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 867.55 = 253.63 : x
  2. Step 2: Convert to fraction form
    578.34/867.55 = 253.63/x
  3. Step 3: Cross multiply
    578.34x = 867.55 × 253.63
  4. Step 4: Simplify right side
    578.34x = 220,032.37
  5. Step 5: Solve for x
    x = 220,032.37/578.34
  6. Step 6: Final answer
    x = 380.46

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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.