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Finding the Fourth Proportional to 608.81, 840.14 and 346.81

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Solution

The fourth proportional to 608.81, 840.14 and 346.81 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.81 : 840.14 = 346.81 : x
  2. Step 2: Convert to fraction form
    608.81/840.14 = 346.81/x
  3. Step 3: Cross multiply
    608.81x = 840.14 × 346.81
  4. Step 4: Simplify right side
    608.81x = 291,363.02
  5. Step 5: Solve for x
    x = 291,363.02/608.81
  6. Step 6: Final answer
    x = 478.58

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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.