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Finding the Fourth Proportional to 345.57, 518.10 and 208.59

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Solution

The fourth proportional to 345.57, 518.10 and 208.59 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.57 : 518.10 = 208.59 : x
  2. Step 2: Convert to fraction form
    345.57/518.10 = 208.59/x
  3. Step 3: Cross multiply
    345.57x = 518.10 × 208.59
  4. Step 4: Simplify right side
    345.57x = 108,068.76
  5. Step 5: Solve for x
    x = 108,068.76/345.57
  6. Step 6: Final answer
    x = 312.72

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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.