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Finding the Fourth Proportional to 540.34, 810.70 and 293.51

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Solution

The fourth proportional to 540.34, 810.70 and 293.51 is: 440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 810.70 = 293.51 : x
  2. Step 2: Convert to fraction form
    540.34/810.70 = 293.51/x
  3. Step 3: Cross multiply
    540.34x = 810.70 × 293.51
  4. Step 4: Simplify right side
    540.34x = 237,949.85
  5. Step 5: Solve for x
    x = 237,949.85/540.34
  6. Step 6: Final answer
    x = 440.37

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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.