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Finding the Fourth Proportional to 518.68, 714.99 and 436.06

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Solution

The fourth proportional to 518.68, 714.99 and 436.06 is: 601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.68 : 714.99 = 436.06 : x
  2. Step 2: Convert to fraction form
    518.68/714.99 = 436.06/x
  3. Step 3: Cross multiply
    518.68x = 714.99 × 436.06
  4. Step 4: Simplify right side
    518.68x = 311,778.54
  5. Step 5: Solve for x
    x = 311,778.54/518.68
  6. Step 6: Final answer
    x = 601.10

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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.