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Finding the Fourth Proportional to 554.18, 830.69 and 279.70

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Solution

The fourth proportional to 554.18, 830.69 and 279.70 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.18 : 830.69 = 279.70 : x
  2. Step 2: Convert to fraction form
    554.18/830.69 = 279.70/x
  3. Step 3: Cross multiply
    554.18x = 830.69 × 279.70
  4. Step 4: Simplify right side
    554.18x = 232,339.84
  5. Step 5: Solve for x
    x = 232,339.84/554.18
  6. Step 6: Final answer
    x = 419.25

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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.