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Finding the Fourth Proportional to 518.58, 714.81 and 476.19

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Solution

The fourth proportional to 518.58, 714.81 and 476.19 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.58 : 714.81 = 476.19 : x
  2. Step 2: Convert to fraction form
    518.58/714.81 = 476.19/x
  3. Step 3: Cross multiply
    518.58x = 714.81 × 476.19
  4. Step 4: Simplify right side
    518.58x = 340,385.37
  5. Step 5: Solve for x
    x = 340,385.37/518.58
  6. Step 6: Final answer
    x = 656.38

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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.