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Finding the Fourth Proportional to 415.36, 572.70 and 378.37

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Solution

The fourth proportional to 415.36, 572.70 and 378.37 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 572.70 = 378.37 : x
  2. Step 2: Convert to fraction form
    415.36/572.70 = 378.37/x
  3. Step 3: Cross multiply
    415.36x = 572.70 × 378.37
  4. Step 4: Simplify right side
    415.36x = 216,692.50
  5. Step 5: Solve for x
    x = 216,692.50/415.36
  6. Step 6: Final answer
    x = 521.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.