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Finding the Fourth Proportional to 977.49, 1,466.41 and 429.73

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Solution

The fourth proportional to 977.49, 1,466.41 and 429.73 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.49 : 1,466.41 = 429.73 : x
  2. Step 2: Convert to fraction form
    977.49/1,466.41 = 429.73/x
  3. Step 3: Cross multiply
    977.49x = 1,466.41 × 429.73
  4. Step 4: Simplify right side
    977.49x = 630,160.37
  5. Step 5: Solve for x
    x = 630,160.37/977.49
  6. Step 6: Final answer
    x = 644.67

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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.