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Finding the Fourth Proportional to 568.23, 783.76 and 549.18

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Solution

The fourth proportional to 568.23, 783.76 and 549.18 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 783.76 = 549.18 : x
  2. Step 2: Convert to fraction form
    568.23/783.76 = 549.18/x
  3. Step 3: Cross multiply
    568.23x = 783.76 × 549.18
  4. Step 4: Simplify right side
    568.23x = 430,425.32
  5. Step 5: Solve for x
    x = 430,425.32/568.23
  6. Step 6: Final answer
    x = 757.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.