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Finding the Fourth Proportional to 954.50, 1,430.82 and 369.09

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Solution

The fourth proportional to 954.50, 1,430.82 and 369.09 is: 553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.50 : 1,430.82 = 369.09 : x
  2. Step 2: Convert to fraction form
    954.50/1,430.82 = 369.09/x
  3. Step 3: Cross multiply
    954.50x = 1,430.82 × 369.09
  4. Step 4: Simplify right side
    954.50x = 528,101.35
  5. Step 5: Solve for x
    x = 528,101.35/954.50
  6. Step 6: Final answer
    x = 553.28

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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.