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Finding the Fourth Proportional to 554.25, 829.88 and 293.70

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Solution

The fourth proportional to 554.25, 829.88 and 293.70 is: 439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.25 : 829.88 = 293.70 : x
  2. Step 2: Convert to fraction form
    554.25/829.88 = 293.70/x
  3. Step 3: Cross multiply
    554.25x = 829.88 × 293.70
  4. Step 4: Simplify right side
    554.25x = 243,735.76
  5. Step 5: Solve for x
    x = 243,735.76/554.25
  6. Step 6: Final answer
    x = 439.76

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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.