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Finding the Fourth Proportional to 518.52, 715.47 and 332.19

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Solution

The fourth proportional to 518.52, 715.47 and 332.19 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.52 : 715.47 = 332.19 : x
  2. Step 2: Convert to fraction form
    518.52/715.47 = 332.19/x
  3. Step 3: Cross multiply
    518.52x = 715.47 × 332.19
  4. Step 4: Simplify right side
    518.52x = 237,671.98
  5. Step 5: Solve for x
    x = 237,671.98/518.52
  6. Step 6: Final answer
    x = 458.37

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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.