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Finding the Fourth Proportional to 569.73, 786.24 and 429.63

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Solution

The fourth proportional to 569.73, 786.24 and 429.63 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.73 : 786.24 = 429.63 : x
  2. Step 2: Convert to fraction form
    569.73/786.24 = 429.63/x
  3. Step 3: Cross multiply
    569.73x = 786.24 × 429.63
  4. Step 4: Simplify right side
    569.73x = 337,792.29
  5. Step 5: Solve for x
    x = 337,792.29/569.73
  6. Step 6: Final answer
    x = 592.90

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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.