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Finding the Fourth Proportional to 935.91, 1,402.92 and 416.19

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Solution

The fourth proportional to 935.91, 1,402.92 and 416.19 is: 623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.91 : 1,402.92 = 416.19 : x
  2. Step 2: Convert to fraction form
    935.91/1,402.92 = 416.19/x
  3. Step 3: Cross multiply
    935.91x = 1,402.92 × 416.19
  4. Step 4: Simplify right side
    935.91x = 583,881.27
  5. Step 5: Solve for x
    x = 583,881.27/935.91
  6. Step 6: Final answer
    x = 623.86

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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.