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Finding the Fourth Proportional to 346.30, 518.58 and 313.43

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Solution

The fourth proportional to 346.30, 518.58 and 313.43 is: 469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 518.58 = 313.43 : x
  2. Step 2: Convert to fraction form
    346.30/518.58 = 313.43/x
  3. Step 3: Cross multiply
    346.30x = 518.58 × 313.43
  4. Step 4: Simplify right side
    346.30x = 162,535.94
  5. Step 5: Solve for x
    x = 162,535.94/346.30
  6. Step 6: Final answer
    x = 469.35

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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.