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Finding the Fourth Proportional to 475.92, 713.76 and 293.76

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Solution

The fourth proportional to 475.92, 713.76 and 293.76 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 713.76 = 293.76 : x
  2. Step 2: Convert to fraction form
    475.92/713.76 = 293.76/x
  3. Step 3: Cross multiply
    475.92x = 713.76 × 293.76
  4. Step 4: Simplify right side
    475.92x = 209,674.14
  5. Step 5: Solve for x
    x = 209,674.14/475.92
  6. Step 6: Final answer
    x = 440.57

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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.