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Finding the Fourth Proportional to 665.78, 919.06 and 403.76

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Solution

The fourth proportional to 665.78, 919.06 and 403.76 is: 557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 919.06 = 403.76 : x
  2. Step 2: Convert to fraction form
    665.78/919.06 = 403.76/x
  3. Step 3: Cross multiply
    665.78x = 919.06 × 403.76
  4. Step 4: Simplify right side
    665.78x = 371,079.67
  5. Step 5: Solve for x
    x = 371,079.67/665.78
  6. Step 6: Final answer
    x = 557.36

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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.