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Finding the Fourth Proportional to 554.69, 830.28 and 310.48

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Solution

The fourth proportional to 554.69, 830.28 and 310.48 is: 464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.69 : 830.28 = 310.48 : x
  2. Step 2: Convert to fraction form
    554.69/830.28 = 310.48/x
  3. Step 3: Cross multiply
    554.69x = 830.28 × 310.48
  4. Step 4: Simplify right side
    554.69x = 257,785.33
  5. Step 5: Solve for x
    x = 257,785.33/554.69
  6. Step 6: Final answer
    x = 464.74

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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.