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Finding the Fourth Proportional to 540.25, 810.47 and 266.26

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Solution

The fourth proportional to 540.25, 810.47 and 266.26 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.25 : 810.47 = 266.26 : x
  2. Step 2: Convert to fraction form
    540.25/810.47 = 266.26/x
  3. Step 3: Cross multiply
    540.25x = 810.47 × 266.26
  4. Step 4: Simplify right side
    540.25x = 215,795.74
  5. Step 5: Solve for x
    x = 215,795.74/540.25
  6. Step 6: Final answer
    x = 399.44

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Double scale
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1.5x scale

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.