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Finding the Fourth Proportional to 518.01, 714.26 and 424.46

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Solution

The fourth proportional to 518.01, 714.26 and 424.46 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 714.26 = 424.46 : x
  2. Step 2: Convert to fraction form
    518.01/714.26 = 424.46/x
  3. Step 3: Cross multiply
    518.01x = 714.26 × 424.46
  4. Step 4: Simplify right side
    518.01x = 303,172.29
  5. Step 5: Solve for x
    x = 303,172.29/518.01
  6. Step 6: Final answer
    x = 585.26

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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.