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Finding the Fourth Proportional to 403.89, 606.35 and 346.48

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Solution

The fourth proportional to 403.89, 606.35 and 346.48 is: 520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.89 : 606.35 = 346.48 : x
  2. Step 2: Convert to fraction form
    403.89/606.35 = 346.48/x
  3. Step 3: Cross multiply
    403.89x = 606.35 × 346.48
  4. Step 4: Simplify right side
    403.89x = 210,087.50
  5. Step 5: Solve for x
    x = 210,087.50/403.89
  6. Step 6: Final answer
    x = 520.17

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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.