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Finding the Fourth Proportional to 568.53, 784.35 and 332.42

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Solution

The fourth proportional to 568.53, 784.35 and 332.42 is: 458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.53 : 784.35 = 332.42 : x
  2. Step 2: Convert to fraction form
    568.53/784.35 = 332.42/x
  3. Step 3: Cross multiply
    568.53x = 784.35 × 332.42
  4. Step 4: Simplify right side
    568.53x = 260,729.71
  5. Step 5: Solve for x
    x = 260,729.71/568.53
  6. Step 6: Final answer
    x = 458.60

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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.