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Finding the Fourth Proportional to 440.23, 659.49 and 266.40

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Solution

The fourth proportional to 440.23, 659.49 and 266.40 is: 399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.23 : 659.49 = 266.40 : x
  2. Step 2: Convert to fraction form
    440.23/659.49 = 266.40/x
  3. Step 3: Cross multiply
    440.23x = 659.49 × 266.40
  4. Step 4: Simplify right side
    440.23x = 175,688.14
  5. Step 5: Solve for x
    x = 175,688.14/440.23
  6. Step 6: Final answer
    x = 399.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.