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Finding the Fourth Proportional to 405.41, 560.21 and 312.12

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Solution

The fourth proportional to 405.41, 560.21 and 312.12 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.41 : 560.21 = 312.12 : x
  2. Step 2: Convert to fraction form
    405.41/560.21 = 312.12/x
  3. Step 3: Cross multiply
    405.41x = 560.21 × 312.12
  4. Step 4: Simplify right side
    405.41x = 174,851.18
  5. Step 5: Solve for x
    x = 174,851.18/405.41
  6. Step 6: Final answer
    x = 431.30

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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.