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Finding the Fourth Proportional to 429.99, 645.59 and 410.41

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Solution

The fourth proportional to 429.99, 645.59 and 410.41 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.99 : 645.59 = 410.41 : x
  2. Step 2: Convert to fraction form
    429.99/645.59 = 410.41/x
  3. Step 3: Cross multiply
    429.99x = 645.59 × 410.41
  4. Step 4: Simplify right side
    429.99x = 264,956.59
  5. Step 5: Solve for x
    x = 264,956.59/429.99
  6. Step 6: Final answer
    x = 616.19

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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.