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Finding the Fourth Proportional to 555.80, 834.30 and 312.20

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Solution

The fourth proportional to 555.80, 834.30 and 312.20 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.80 : 834.30 = 312.20 : x
  2. Step 2: Convert to fraction form
    555.80/834.30 = 312.20/x
  3. Step 3: Cross multiply
    555.80x = 834.30 × 312.20
  4. Step 4: Simplify right side
    555.80x = 260,468.46
  5. Step 5: Solve for x
    x = 260,468.46/555.80
  6. Step 6: Final answer
    x = 468.64

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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.