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Finding the Fourth Proportional to 518.58, 715.41 and 332.00

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Solution

The fourth proportional to 518.58, 715.41 and 332.00 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 715.41 = 332.00 : x
  2. Step 2: Convert to fraction form
    518.58/715.41 = 332.00/x
  3. Step 3: Cross multiply
    518.58x = 715.41 × 332.00
  4. Step 4: Simplify right side
    518.58x = 237,512.54
  5. Step 5: Solve for x
    x = 237,512.54/518.58
  6. Step 6: Final answer
    x = 458.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.