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Finding the Fourth Proportional to 568.47, 784.57 and 421.53

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Solution

The fourth proportional to 568.47, 784.57 and 421.53 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.47 : 784.57 = 421.53 : x
  2. Step 2: Convert to fraction form
    568.47/784.57 = 421.53/x
  3. Step 3: Cross multiply
    568.47x = 784.57 × 421.53
  4. Step 4: Simplify right side
    568.47x = 330,716.59
  5. Step 5: Solve for x
    x = 330,716.59/568.47
  6. Step 6: Final answer
    x = 581.76

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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.