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Finding the Fourth Proportional to 497.62, 745.58 and 352.64

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Solution

The fourth proportional to 497.62, 745.58 and 352.64 is: 528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 745.58 = 352.64 : x
  2. Step 2: Convert to fraction form
    497.62/745.58 = 352.64/x
  3. Step 3: Cross multiply
    497.62x = 745.58 × 352.64
  4. Step 4: Simplify right side
    497.62x = 262,921.33
  5. Step 5: Solve for x
    x = 262,921.33/497.62
  6. Step 6: Final answer
    x = 528.36

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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.