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Finding the Fourth Proportional to 601.84, 902.48 and 341.84

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Solution

The fourth proportional to 601.84, 902.48 and 341.84 is: 512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 902.48 = 341.84 : x
  2. Step 2: Convert to fraction form
    601.84/902.48 = 341.84/x
  3. Step 3: Cross multiply
    601.84x = 902.48 × 341.84
  4. Step 4: Simplify right side
    601.84x = 308,503.76
  5. Step 5: Solve for x
    x = 308,503.76/601.84
  6. Step 6: Final answer
    x = 512.60

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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.