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Finding the Fourth Proportional to 429.03, 647.06 and 424.44

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Solution

The fourth proportional to 429.03, 647.06 and 424.44 is: 640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.03 : 647.06 = 424.44 : x
  2. Step 2: Convert to fraction form
    429.03/647.06 = 424.44/x
  3. Step 3: Cross multiply
    429.03x = 647.06 × 424.44
  4. Step 4: Simplify right side
    429.03x = 274,636.02
  5. Step 5: Solve for x
    x = 274,636.02/429.03
  6. Step 6: Final answer
    x = 640.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.