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Finding the Fourth Proportional to 930.06, 1,394.10 and 313.55

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Solution

The fourth proportional to 930.06, 1,394.10 and 313.55 is: 469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.06 : 1,394.10 = 313.55 : x
  2. Step 2: Convert to fraction form
    930.06/1,394.10 = 313.55/x
  3. Step 3: Cross multiply
    930.06x = 1,394.10 × 313.55
  4. Step 4: Simplify right side
    930.06x = 437,113.08
  5. Step 5: Solve for x
    x = 437,113.08/930.06
  6. Step 6: Final answer
    x = 469.99

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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.