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Finding the Fourth Proportional to 665.76, 918.99 and 403.77

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Solution

The fourth proportional to 665.76, 918.99 and 403.77 is: 557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.76 : 918.99 = 403.77 : x
  2. Step 2: Convert to fraction form
    665.76/918.99 = 403.77/x
  3. Step 3: Cross multiply
    665.76x = 918.99 × 403.77
  4. Step 4: Simplify right side
    665.76x = 371,060.59
  5. Step 5: Solve for x
    x = 371,060.59/665.76
  6. Step 6: Final answer
    x = 557.35

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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.