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Finding the Fourth Proportional to 613.68, 915.42 and 576.42

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Solution

The fourth proportional to 613.68, 915.42 and 576.42 is: 859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 915.42 = 576.42 : x
  2. Step 2: Convert to fraction form
    613.68/915.42 = 576.42/x
  3. Step 3: Cross multiply
    613.68x = 915.42 × 576.42
  4. Step 4: Simplify right side
    613.68x = 527,666.40
  5. Step 5: Solve for x
    x = 527,666.40/613.68
  6. Step 6: Final answer
    x = 859.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.