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Finding the Fourth Proportional to 518.05, 714.95 and 328.96

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Solution

The fourth proportional to 518.05, 714.95 and 328.96 is: 454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.05 : 714.95 = 328.96 : x
  2. Step 2: Convert to fraction form
    518.05/714.95 = 328.96/x
  3. Step 3: Cross multiply
    518.05x = 714.95 × 328.96
  4. Step 4: Simplify right side
    518.05x = 235,191.36
  5. Step 5: Solve for x
    x = 235,191.36/518.05
  6. Step 6: Final answer
    x = 454.00

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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.