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Finding the Fourth Proportional to 601.64, 830.28 and 339.66

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Solution

The fourth proportional to 601.64, 830.28 and 339.66 is: 468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 830.28 = 339.66 : x
  2. Step 2: Convert to fraction form
    601.64/830.28 = 339.66/x
  3. Step 3: Cross multiply
    601.64x = 830.28 × 339.66
  4. Step 4: Simplify right side
    601.64x = 282,009.15
  5. Step 5: Solve for x
    x = 282,009.15/601.64
  6. Step 6: Final answer
    x = 468.73

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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.