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Finding the Fourth Proportional to 405.10, 558.85 and 294.54

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Solution

The fourth proportional to 405.10, 558.85 and 294.54 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 558.85 = 294.54 : x
  2. Step 2: Convert to fraction form
    405.10/558.85 = 294.54/x
  3. Step 3: Cross multiply
    405.10x = 558.85 × 294.54
  4. Step 4: Simplify right side
    405.10x = 164,601.40
  5. Step 5: Solve for x
    x = 164,601.40/405.10
  6. Step 6: Final answer
    x = 406.32

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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.