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Finding the Fourth Proportional to 344.93, 514.69 and 342.90

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Solution

The fourth proportional to 344.93, 514.69 and 342.90 is: 511.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.93 : 514.69 = 342.90 : x
  2. Step 2: Convert to fraction form
    344.93/514.69 = 342.90/x
  3. Step 3: Cross multiply
    344.93x = 514.69 × 342.90
  4. Step 4: Simplify right side
    344.93x = 176,486.34
  5. Step 5: Solve for x
    x = 176,486.34/344.93
  6. Step 6: Final answer
    x = 511.67

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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.