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Finding the Fourth Proportional to 620.30, 929.70 and 346.58

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Solution

The fourth proportional to 620.30, 929.70 and 346.58 is: 519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.30 : 929.70 = 346.58 : x
  2. Step 2: Convert to fraction form
    620.30/929.70 = 346.58/x
  3. Step 3: Cross multiply
    620.30x = 929.70 × 346.58
  4. Step 4: Simplify right side
    620.30x = 322,215.43
  5. Step 5: Solve for x
    x = 322,215.43/620.30
  6. Step 6: Final answer
    x = 519.45

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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.