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Finding the Fourth Proportional to 405.83, 560.18 and 281.65

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Solution

The fourth proportional to 405.83, 560.18 and 281.65 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.83 : 560.18 = 281.65 : x
  2. Step 2: Convert to fraction form
    405.83/560.18 = 281.65/x
  3. Step 3: Cross multiply
    405.83x = 560.18 × 281.65
  4. Step 4: Simplify right side
    405.83x = 157,774.70
  5. Step 5: Solve for x
    x = 157,774.70/405.83
  6. Step 6: Final answer
    x = 388.77

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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.