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Finding the Fourth Proportional to 937.23, 1,406.18 and 417.28

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Solution

The fourth proportional to 937.23, 1,406.18 and 417.28 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.23 : 1,406.18 = 417.28 : x
  2. Step 2: Convert to fraction form
    937.23/1,406.18 = 417.28/x
  3. Step 3: Cross multiply
    937.23x = 1,406.18 × 417.28
  4. Step 4: Simplify right side
    937.23x = 586,770.79
  5. Step 5: Solve for x
    x = 586,770.79/937.23
  6. Step 6: Final answer
    x = 626.07

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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.