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Finding the Fourth Proportional to 652.14, 977.94 and 374.58

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Solution

The fourth proportional to 652.14, 977.94 and 374.58 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 977.94 = 374.58 : x
  2. Step 2: Convert to fraction form
    652.14/977.94 = 374.58/x
  3. Step 3: Cross multiply
    652.14x = 977.94 × 374.58
  4. Step 4: Simplify right side
    652.14x = 366,316.77
  5. Step 5: Solve for x
    x = 366,316.77/652.14
  6. Step 6: Final answer
    x = 561.71

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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.