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Finding the Fourth Proportional to 405.32, 559.43 and 265.39

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Solution

The fourth proportional to 405.32, 559.43 and 265.39 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 559.43 = 265.39 : x
  2. Step 2: Convert to fraction form
    405.32/559.43 = 265.39/x
  3. Step 3: Cross multiply
    405.32x = 559.43 × 265.39
  4. Step 4: Simplify right side
    405.32x = 148,465.67
  5. Step 5: Solve for x
    x = 148,465.67/405.32
  6. Step 6: Final answer
    x = 366.29

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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.