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Finding the Fourth Proportional to 953.50, 1,430.36 and 337.57

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Solution

The fourth proportional to 953.50, 1,430.36 and 337.57 is: 506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.50 : 1,430.36 = 337.57 : x
  2. Step 2: Convert to fraction form
    953.50/1,430.36 = 337.57/x
  3. Step 3: Cross multiply
    953.50x = 1,430.36 × 337.57
  4. Step 4: Simplify right side
    953.50x = 482,846.63
  5. Step 5: Solve for x
    x = 482,846.63/953.50
  6. Step 6: Final answer
    x = 506.39

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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.