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Finding the Fourth Proportional to 554.70, 829.92 and 407.49

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Solution

The fourth proportional to 554.70, 829.92 and 407.49 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 829.92 = 407.49 : x
  2. Step 2: Convert to fraction form
    554.70/829.92 = 407.49/x
  3. Step 3: Cross multiply
    554.70x = 829.92 × 407.49
  4. Step 4: Simplify right side
    554.70x = 338,184.10
  5. Step 5: Solve for x
    x = 338,184.10/554.70
  6. Step 6: Final answer
    x = 609.67

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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.