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Finding the Fourth Proportional to 554.59, 830.97 and 359.58

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Solution

The fourth proportional to 554.59, 830.97 and 359.58 is: 538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.59 : 830.97 = 359.58 : x
  2. Step 2: Convert to fraction form
    554.59/830.97 = 359.58/x
  3. Step 3: Cross multiply
    554.59x = 830.97 × 359.58
  4. Step 4: Simplify right side
    554.59x = 298,800.19
  5. Step 5: Solve for x
    x = 298,800.19/554.59
  6. Step 6: Final answer
    x = 538.78

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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.