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Finding the Fourth Proportional to 569.79, 854.88 and 223.20

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Solution

The fourth proportional to 569.79, 854.88 and 223.20 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.79 : 854.88 = 223.20 : x
  2. Step 2: Convert to fraction form
    569.79/854.88 = 223.20/x
  3. Step 3: Cross multiply
    569.79x = 854.88 × 223.20
  4. Step 4: Simplify right side
    569.79x = 190,809.22
  5. Step 5: Solve for x
    x = 190,809.22/569.79
  6. Step 6: Final answer
    x = 334.88

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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.