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Finding the Fourth Proportional to 555.70, 767.25 and 345.96

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Solution

The fourth proportional to 555.70, 767.25 and 345.96 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.70 : 767.25 = 345.96 : x
  2. Step 2: Convert to fraction form
    555.70/767.25 = 345.96/x
  3. Step 3: Cross multiply
    555.70x = 767.25 × 345.96
  4. Step 4: Simplify right side
    555.70x = 265,437.81
  5. Step 5: Solve for x
    x = 265,437.81/555.70
  6. Step 6: Final answer
    x = 477.66

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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.