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Finding the Fourth Proportional to 555.96, 767.36 and 346.16

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Solution

The fourth proportional to 555.96, 767.36 and 346.16 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 767.36 = 346.16 : x
  2. Step 2: Convert to fraction form
    555.96/767.36 = 346.16/x
  3. Step 3: Cross multiply
    555.96x = 767.36 × 346.16
  4. Step 4: Simplify right side
    555.96x = 265,629.34
  5. Step 5: Solve for x
    x = 265,629.34/555.96
  6. Step 6: Final answer
    x = 477.78

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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.