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Finding the Fourth Proportional to 554.24, 830.64 and 409.52

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Solution

The fourth proportional to 554.24, 830.64 and 409.52 is: 613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.24 : 830.64 = 409.52 : x
  2. Step 2: Convert to fraction form
    554.24/830.64 = 409.52/x
  3. Step 3: Cross multiply
    554.24x = 830.64 × 409.52
  4. Step 4: Simplify right side
    554.24x = 340,163.69
  5. Step 5: Solve for x
    x = 340,163.69/554.24
  6. Step 6: Final answer
    x = 613.75

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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.