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Finding the Fourth Proportional to 518.28, 714.06 and 419.87

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Solution

The fourth proportional to 518.28, 714.06 and 419.87 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.28 : 714.06 = 419.87 : x
  2. Step 2: Convert to fraction form
    518.28/714.06 = 419.87/x
  3. Step 3: Cross multiply
    518.28x = 714.06 × 419.87
  4. Step 4: Simplify right side
    518.28x = 299,808.80
  5. Step 5: Solve for x
    x = 299,808.80/518.28
  6. Step 6: Final answer
    x = 578.47

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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.