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Finding the Fourth Proportional to 405.89, 560.37 and 312.45

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Solution

The fourth proportional to 405.89, 560.37 and 312.45 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.89 : 560.37 = 312.45 : x
  2. Step 2: Convert to fraction form
    405.89/560.37 = 312.45/x
  3. Step 3: Cross multiply
    405.89x = 560.37 × 312.45
  4. Step 4: Simplify right side
    405.89x = 175,087.61
  5. Step 5: Solve for x
    x = 175,087.61/405.89
  6. Step 6: Final answer
    x = 431.37

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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.