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Finding the Fourth Proportional to 601.46, 830.02 and 339.48

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Solution

The fourth proportional to 601.46, 830.02 and 339.48 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 830.02 = 339.48 : x
  2. Step 2: Convert to fraction form
    601.46/830.02 = 339.48/x
  3. Step 3: Cross multiply
    601.46x = 830.02 × 339.48
  4. Step 4: Simplify right side
    601.46x = 281,775.19
  5. Step 5: Solve for x
    x = 281,775.19/601.46
  6. Step 6: Final answer
    x = 468.49

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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.