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Finding the Fourth Proportional to 930.54, 1,395.69 and 410.91

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Solution

The fourth proportional to 930.54, 1,395.69 and 410.91 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.54 : 1,395.69 = 410.91 : x
  2. Step 2: Convert to fraction form
    930.54/1,395.69 = 410.91/x
  3. Step 3: Cross multiply
    930.54x = 1,395.69 × 410.91
  4. Step 4: Simplify right side
    930.54x = 573,502.98
  5. Step 5: Solve for x
    x = 573,502.98/930.54
  6. Step 6: Final answer
    x = 616.31

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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.