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Finding the Fourth Proportional to 569.40, 785.34 and 429.56

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Solution

The fourth proportional to 569.40, 785.34 and 429.56 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.40 : 785.34 = 429.56 : x
  2. Step 2: Convert to fraction form
    569.40/785.34 = 429.56/x
  3. Step 3: Cross multiply
    569.40x = 785.34 × 429.56
  4. Step 4: Simplify right side
    569.40x = 337,350.65
  5. Step 5: Solve for x
    x = 337,350.65/569.40
  6. Step 6: Final answer
    x = 592.47

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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.