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Finding the Fourth Proportional to 405.79, 560.04 and 350.30

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Solution

The fourth proportional to 405.79, 560.04 and 350.30 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 560.04 = 350.30 : x
  2. Step 2: Convert to fraction form
    405.79/560.04 = 350.30/x
  3. Step 3: Cross multiply
    405.79x = 560.04 × 350.30
  4. Step 4: Simplify right side
    405.79x = 196,182.01
  5. Step 5: Solve for x
    x = 196,182.01/405.79
  6. Step 6: Final answer
    x = 483.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.