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Finding the Fourth Proportional to 540.45, 745.71 and 319.23

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Solution

The fourth proportional to 540.45, 745.71 and 319.23 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.45 : 745.71 = 319.23 : x
  2. Step 2: Convert to fraction form
    540.45/745.71 = 319.23/x
  3. Step 3: Cross multiply
    540.45x = 745.71 × 319.23
  4. Step 4: Simplify right side
    540.45x = 238,053.00
  5. Step 5: Solve for x
    x = 238,053.00/540.45
  6. Step 6: Final answer
    x = 440.47

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1.5x scale

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.