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Finding the Fourth Proportional to 429.36, 589.98 and 410.28

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Solution

The fourth proportional to 429.36, 589.98 and 410.28 is: 563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 589.98 = 410.28 : x
  2. Step 2: Convert to fraction form
    429.36/589.98 = 410.28/x
  3. Step 3: Cross multiply
    429.36x = 589.98 × 410.28
  4. Step 4: Simplify right side
    429.36x = 242,056.99
  5. Step 5: Solve for x
    x = 242,056.99/429.36
  6. Step 6: Final answer
    x = 563.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.