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Finding the Fourth Proportional to 405.60, 556.14 and 395.88

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Solution

The fourth proportional to 405.60, 556.14 and 395.88 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 556.14 = 395.88 : x
  2. Step 2: Convert to fraction form
    405.60/556.14 = 395.88/x
  3. Step 3: Cross multiply
    405.60x = 556.14 × 395.88
  4. Step 4: Simplify right side
    405.60x = 220,164.70
  5. Step 5: Solve for x
    x = 220,164.70/405.60
  6. Step 6: Final answer
    x = 542.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.