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Finding the Fourth Proportional to 569.91, 787.00 and 429.79

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Solution

The fourth proportional to 569.91, 787.00 and 429.79 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 787.00 = 429.79 : x
  2. Step 2: Convert to fraction form
    569.91/787.00 = 429.79/x
  3. Step 3: Cross multiply
    569.91x = 787.00 × 429.79
  4. Step 4: Simplify right side
    569.91x = 338,245.45
  5. Step 5: Solve for x
    x = 338,245.45/569.91
  6. Step 6: Final answer
    x = 593.50

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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.