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Finding the Fourth Proportional to 930, 1,395.24 and 417

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Solution

The fourth proportional to 930, 1,395.24 and 417 is: 625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    930 : 1,395.24 = 417 : x
  2. Step 2: Convert to fraction form
    930/1,395.24 = 417/x
  3. Step 3: Cross multiply
    930x = 1,395.24 × 417
  4. Step 4: Simplify right side
    930x = 581,815.08
  5. Step 5: Solve for x
    x = 581,815.08/930
  6. Step 6: Final answer
    x = 625.61

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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.