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Finding the Fourth Proportional to 569.19, 853 and 395.58

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Solution

The fourth proportional to 569.19, 853 and 395.58 is: 592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.19 : 853 = 395.58 : x
  2. Step 2: Convert to fraction form
    569.19/853 = 395.58/x
  3. Step 3: Cross multiply
    569.19x = 853 × 395.58
  4. Step 4: Simplify right side
    569.19x = 337,429.74
  5. Step 5: Solve for x
    x = 337,429.74/569.19
  6. Step 6: Final answer
    x = 592.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.