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Finding the Fourth Proportional to 569.97, 786.14 and 429.84

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Solution

The fourth proportional to 569.97, 786.14 and 429.84 is: 592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.97 : 786.14 = 429.84 : x
  2. Step 2: Convert to fraction form
    569.97/786.14 = 429.84/x
  3. Step 3: Cross multiply
    569.97x = 786.14 × 429.84
  4. Step 4: Simplify right side
    569.97x = 337,913.88
  5. Step 5: Solve for x
    x = 337,913.88/569.97
  6. Step 6: Final answer
    x = 592.86

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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.