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Finding the Fourth Proportional to 665.32, 917.30 and 540.52

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Solution

The fourth proportional to 665.32, 917.30 and 540.52 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.32 : 917.30 = 540.52 : x
  2. Step 2: Convert to fraction form
    665.32/917.30 = 540.52/x
  3. Step 3: Cross multiply
    665.32x = 917.30 × 540.52
  4. Step 4: Simplify right side
    665.32x = 495,819.00
  5. Step 5: Solve for x
    x = 495,819.00/665.32
  6. Step 6: Final answer
    x = 745.23

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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.