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Finding the Fourth Proportional to 405.85, 560.72 and 385.87

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Solution

The fourth proportional to 405.85, 560.72 and 385.87 is: 533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.85 : 560.72 = 385.87 : x
  2. Step 2: Convert to fraction form
    405.85/560.72 = 385.87/x
  3. Step 3: Cross multiply
    405.85x = 560.72 × 385.87
  4. Step 4: Simplify right side
    405.85x = 216,365.03
  5. Step 5: Solve for x
    x = 216,365.03/405.85
  6. Step 6: Final answer
    x = 533.12

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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.