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Finding the Fourth Proportional to 652.71, 979.51 and 378.42

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Solution

The fourth proportional to 652.71, 979.51 and 378.42 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.71 : 979.51 = 378.42 : x
  2. Step 2: Convert to fraction form
    652.71/979.51 = 378.42/x
  3. Step 3: Cross multiply
    652.71x = 979.51 × 378.42
  4. Step 4: Simplify right side
    652.71x = 370,666.17
  5. Step 5: Solve for x
    x = 370,666.17/652.71
  6. Step 6: Final answer
    x = 567.89

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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.