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Finding the Fourth Proportional to 346.99, 519.61 and 314.12

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Solution

The fourth proportional to 346.99, 519.61 and 314.12 is: 470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.99 : 519.61 = 314.12 : x
  2. Step 2: Convert to fraction form
    346.99/519.61 = 314.12/x
  3. Step 3: Cross multiply
    346.99x = 519.61 × 314.12
  4. Step 4: Simplify right side
    346.99x = 163,219.89
  5. Step 5: Solve for x
    x = 163,219.89/346.99
  6. Step 6: Final answer
    x = 470.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.