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Finding the Fourth Proportional to 555.69, 832.86 and 312.15

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Solution

The fourth proportional to 555.69, 832.86 and 312.15 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.69 : 832.86 = 312.15 : x
  2. Step 2: Convert to fraction form
    555.69/832.86 = 312.15/x
  3. Step 3: Cross multiply
    555.69x = 832.86 × 312.15
  4. Step 4: Simplify right side
    555.69x = 259,977.25
  5. Step 5: Solve for x
    x = 259,977.25/555.69
  6. Step 6: Final answer
    x = 467.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.