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Finding the Fourth Proportional to 555.40, 834.90 and 394.20

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Solution

The fourth proportional to 555.40, 834.90 and 394.20 is: 592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.40 : 834.90 = 394.20 : x
  2. Step 2: Convert to fraction form
    555.40/834.90 = 394.20/x
  3. Step 3: Cross multiply
    555.40x = 834.90 × 394.20
  4. Step 4: Simplify right side
    555.40x = 329,117.58
  5. Step 5: Solve for x
    x = 329,117.58/555.40
  6. Step 6: Final answer
    x = 592.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.