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Finding the Fourth Proportional to 569.10, 785.72 and 429.48

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Solution

The fourth proportional to 569.10, 785.72 and 429.48 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.10 : 785.72 = 429.48 : x
  2. Step 2: Convert to fraction form
    569.10/785.72 = 429.48/x
  3. Step 3: Cross multiply
    569.10x = 785.72 × 429.48
  4. Step 4: Simplify right side
    569.10x = 337,451.03
  5. Step 5: Solve for x
    x = 337,451.03/569.10
  6. Step 6: Final answer
    x = 592.96

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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.