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Finding the Fourth Proportional to 345.17, 514.68 and 340.92

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Solution

The fourth proportional to 345.17, 514.68 and 340.92 is: 508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.17 : 514.68 = 340.92 : x
  2. Step 2: Convert to fraction form
    345.17/514.68 = 340.92/x
  3. Step 3: Cross multiply
    345.17x = 514.68 × 340.92
  4. Step 4: Simplify right side
    345.17x = 175,460.43
  5. Step 5: Solve for x
    x = 175,460.43/345.17
  6. Step 6: Final answer
    x = 508.34

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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.