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Finding the Fourth Proportional to 554.37, 830.07 and 293.83

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Solution

The fourth proportional to 554.37, 830.07 and 293.83 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.37 : 830.07 = 293.83 : x
  2. Step 2: Convert to fraction form
    554.37/830.07 = 293.83/x
  3. Step 3: Cross multiply
    554.37x = 830.07 × 293.83
  4. Step 4: Simplify right side
    554.37x = 243,897.39
  5. Step 5: Solve for x
    x = 243,897.39/554.37
  6. Step 6: Final answer
    x = 439.96

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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.