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Finding the Fourth Proportional to 873.12, 1,309.76 and 296

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Solution

The fourth proportional to 873.12, 1,309.76 and 296 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,309.76 = 296 : x
  2. Step 2: Convert to fraction form
    873.12/1,309.76 = 296/x
  3. Step 3: Cross multiply
    873.12x = 1,309.76 × 296
  4. Step 4: Simplify right side
    873.12x = 387,688.96
  5. Step 5: Solve for x
    x = 387,688.96/873.12
  6. Step 6: Final answer
    x = 444.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.