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Finding the Fourth Proportional to 345.46, 513.91 and 341.98

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Solution

The fourth proportional to 345.46, 513.91 and 341.98 is: 508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 513.91 = 341.98 : x
  2. Step 2: Convert to fraction form
    345.46/513.91 = 341.98/x
  3. Step 3: Cross multiply
    345.46x = 513.91 × 341.98
  4. Step 4: Simplify right side
    345.46x = 175,745.23
  5. Step 5: Solve for x
    x = 175,745.23/345.46
  6. Step 6: Final answer
    x = 508.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.