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Finding the Fourth Proportional to 873.42, 1,310.16 and 386.48

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Solution

The fourth proportional to 873.42, 1,310.16 and 386.48 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.42 : 1,310.16 = 386.48 : x
  2. Step 2: Convert to fraction form
    873.42/1,310.16 = 386.48/x
  3. Step 3: Cross multiply
    873.42x = 1,310.16 × 386.48
  4. Step 4: Simplify right side
    873.42x = 506,350.64
  5. Step 5: Solve for x
    x = 506,350.64/873.42
  6. Step 6: Final answer
    x = 579.73

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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.