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Finding the Fourth Proportional to 575.46, 858.56 and 569.34

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Solution

The fourth proportional to 575.46, 858.56 and 569.34 is: 849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 858.56 = 569.34 : x
  2. Step 2: Convert to fraction form
    575.46/858.56 = 569.34/x
  3. Step 3: Cross multiply
    575.46x = 858.56 × 569.34
  4. Step 4: Simplify right side
    575.46x = 488,809.70
  5. Step 5: Solve for x
    x = 488,809.70/575.46
  6. Step 6: Final answer
    x = 849.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.