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Finding the Fourth Proportional to 415.02, 619.57 and 360.36

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Solution

The fourth proportional to 415.02, 619.57 and 360.36 is: 537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 619.57 = 360.36 : x
  2. Step 2: Convert to fraction form
    415.02/619.57 = 360.36/x
  3. Step 3: Cross multiply
    415.02x = 619.57 × 360.36
  4. Step 4: Simplify right side
    415.02x = 223,267.34
  5. Step 5: Solve for x
    x = 223,267.34/415.02
  6. Step 6: Final answer
    x = 537.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.