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Finding the Fourth Proportional to 518.07, 714.99 and 297.06

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Solution

The fourth proportional to 518.07, 714.99 and 297.06 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.07 : 714.99 = 297.06 : x
  2. Step 2: Convert to fraction form
    518.07/714.99 = 297.06/x
  3. Step 3: Cross multiply
    518.07x = 714.99 × 297.06
  4. Step 4: Simplify right side
    518.07x = 212,394.93
  5. Step 5: Solve for x
    x = 212,394.93/518.07
  6. Step 6: Final answer
    x = 409.97

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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.