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Finding the Fourth Proportional to 601.46, 830.04 and 339.46

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Solution

The fourth proportional to 601.46, 830.04 and 339.46 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 830.04 = 339.46 : x
  2. Step 2: Convert to fraction form
    601.46/830.04 = 339.46/x
  3. Step 3: Cross multiply
    601.46x = 830.04 × 339.46
  4. Step 4: Simplify right side
    601.46x = 281,765.38
  5. Step 5: Solve for x
    x = 281,765.38/601.46
  6. Step 6: Final answer
    x = 468.47

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.