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Finding the Fourth Proportional to 953.05, 1,430.49 and 466.44

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Solution

The fourth proportional to 953.05, 1,430.49 and 466.44 is: 700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.05 : 1,430.49 = 466.44 : x
  2. Step 2: Convert to fraction form
    953.05/1,430.49 = 466.44/x
  3. Step 3: Cross multiply
    953.05x = 1,430.49 × 466.44
  4. Step 4: Simplify right side
    953.05x = 667,237.76
  5. Step 5: Solve for x
    x = 667,237.76/953.05
  6. Step 6: Final answer
    x = 700.11

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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.