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Finding the Fourth Proportional to 608.63, 839.90 and 346.66

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Solution

The fourth proportional to 608.63, 839.90 and 346.66 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 839.90 = 346.66 : x
  2. Step 2: Convert to fraction form
    608.63/839.90 = 346.66/x
  3. Step 3: Cross multiply
    608.63x = 839.90 × 346.66
  4. Step 4: Simplify right side
    608.63x = 291,158.50
  5. Step 5: Solve for x
    x = 291,158.50/608.63
  6. Step 6: Final answer
    x = 478.39

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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.