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Finding the Fourth Proportional to 345.28, 514.42 and 341.86

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Solution

The fourth proportional to 345.28, 514.42 and 341.86 is: 509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.28 : 514.42 = 341.86 : x
  2. Step 2: Convert to fraction form
    345.28/514.42 = 341.86/x
  3. Step 3: Cross multiply
    345.28x = 514.42 × 341.86
  4. Step 4: Simplify right side
    345.28x = 175,859.62
  5. Step 5: Solve for x
    x = 175,859.62/345.28
  6. Step 6: Final answer
    x = 509.32

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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.