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Finding the Fourth Proportional to 555.34, 766.21 and 345.45

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Solution

The fourth proportional to 555.34, 766.21 and 345.45 is: 476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.34 : 766.21 = 345.45 : x
  2. Step 2: Convert to fraction form
    555.34/766.21 = 345.45/x
  3. Step 3: Cross multiply
    555.34x = 766.21 × 345.45
  4. Step 4: Simplify right side
    555.34x = 264,687.24
  5. Step 5: Solve for x
    x = 264,687.24/555.34
  6. Step 6: Final answer
    x = 476.62

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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.