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Finding the Fourth Proportional to 897.10, 1,345.26 and 280.62

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Solution

The fourth proportional to 897.10, 1,345.26 and 280.62 is: 420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,345.26 = 280.62 : x
  2. Step 2: Convert to fraction form
    897.10/1,345.26 = 280.62/x
  3. Step 3: Cross multiply
    897.10x = 1,345.26 × 280.62
  4. Step 4: Simplify right side
    897.10x = 377,506.86
  5. Step 5: Solve for x
    x = 377,506.86/897.10
  6. Step 6: Final answer
    x = 420.81

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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.