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Finding the Fourth Proportional to 405.90, 559.76 and 266.14

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Solution

The fourth proportional to 405.90, 559.76 and 266.14 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.90 : 559.76 = 266.14 : x
  2. Step 2: Convert to fraction form
    405.90/559.76 = 266.14/x
  3. Step 3: Cross multiply
    405.90x = 559.76 × 266.14
  4. Step 4: Simplify right side
    405.90x = 148,970.40
  5. Step 5: Solve for x
    x = 148,970.40/405.90
  6. Step 6: Final answer
    x = 367.02

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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.