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Finding the Fourth Proportional to 500.08, 745.71 and 465.46

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Solution

The fourth proportional to 500.08, 745.71 and 465.46 is: 694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.08 : 745.71 = 465.46 : x
  2. Step 2: Convert to fraction form
    500.08/745.71 = 465.46/x
  3. Step 3: Cross multiply
    500.08x = 745.71 × 465.46
  4. Step 4: Simplify right side
    500.08x = 347,098.18
  5. Step 5: Solve for x
    x = 347,098.18/500.08
  6. Step 6: Final answer
    x = 694.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.