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Finding the Fourth Proportional to 555.09, 765.66 and 345.06

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Solution

The fourth proportional to 555.09, 765.66 and 345.06 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.09 : 765.66 = 345.06 : x
  2. Step 2: Convert to fraction form
    555.09/765.66 = 345.06/x
  3. Step 3: Cross multiply
    555.09x = 765.66 × 345.06
  4. Step 4: Simplify right side
    555.09x = 264,198.64
  5. Step 5: Solve for x
    x = 264,198.64/555.09
  6. Step 6: Final answer
    x = 475.96

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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.