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Finding the Fourth Proportional to 569.60, 854.45 and 257.45

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Solution

The fourth proportional to 569.60, 854.45 and 257.45 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 854.45 = 257.45 : x
  2. Step 2: Convert to fraction form
    569.60/854.45 = 257.45/x
  3. Step 3: Cross multiply
    569.60x = 854.45 × 257.45
  4. Step 4: Simplify right side
    569.60x = 219,973.56
  5. Step 5: Solve for x
    x = 219,973.56/569.60
  6. Step 6: Final answer
    x = 386.19

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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.