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Finding the Fourth Proportional to 405.34, 606.54 and 346.83

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Solution

The fourth proportional to 405.34, 606.54 and 346.83 is: 518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.34 : 606.54 = 346.83 : x
  2. Step 2: Convert to fraction form
    405.34/606.54 = 346.83/x
  3. Step 3: Cross multiply
    405.34x = 606.54 × 346.83
  4. Step 4: Simplify right side
    405.34x = 210,366.27
  5. Step 5: Solve for x
    x = 210,366.27/405.34
  6. Step 6: Final answer
    x = 518.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.