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Finding the Fourth Proportional to 429.00, 592.26 and 298.18

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Solution

The fourth proportional to 429.00, 592.26 and 298.18 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.00 : 592.26 = 298.18 : x
  2. Step 2: Convert to fraction form
    429.00/592.26 = 298.18/x
  3. Step 3: Cross multiply
    429.00x = 592.26 × 298.18
  4. Step 4: Simplify right side
    429.00x = 176,601.39
  5. Step 5: Solve for x
    x = 176,601.39/429.00
  6. Step 6: Final answer
    x = 411.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.