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Finding the Fourth Proportional to 554.72, 830.68 and 359.40

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Solution

The fourth proportional to 554.72, 830.68 and 359.40 is: 538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.72 : 830.68 = 359.40 : x
  2. Step 2: Convert to fraction form
    554.72/830.68 = 359.40/x
  3. Step 3: Cross multiply
    554.72x = 830.68 × 359.40
  4. Step 4: Simplify right side
    554.72x = 298,546.39
  5. Step 5: Solve for x
    x = 298,546.39/554.72
  6. Step 6: Final answer
    x = 538.19

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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.