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Finding the Fourth Proportional to 626.40, 940.07 and 430.99

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Solution

The fourth proportional to 626.40, 940.07 and 430.99 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.40 : 940.07 = 430.99 : x
  2. Step 2: Convert to fraction form
    626.40/940.07 = 430.99/x
  3. Step 3: Cross multiply
    626.40x = 940.07 × 430.99
  4. Step 4: Simplify right side
    626.40x = 405,159.50
  5. Step 5: Solve for x
    x = 405,159.50/626.40
  6. Step 6: Final answer
    x = 646.81

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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.