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Finding the Fourth Proportional to 569.13, 853.61 and 295.08

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Solution

The fourth proportional to 569.13, 853.61 and 295.08 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 853.61 = 295.08 : x
  2. Step 2: Convert to fraction form
    569.13/853.61 = 295.08/x
  3. Step 3: Cross multiply
    569.13x = 853.61 × 295.08
  4. Step 4: Simplify right side
    569.13x = 251,881.76
  5. Step 5: Solve for x
    x = 251,881.76/569.13
  6. Step 6: Final answer
    x = 442.57

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