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Finding the Fourth Proportional to 546.72, 754.50 and 313.86

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Solution

The fourth proportional to 546.72, 754.50 and 313.86 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.50 = 313.86 : x
  2. Step 2: Convert to fraction form
    546.72/754.50 = 313.86/x
  3. Step 3: Cross multiply
    546.72x = 754.50 × 313.86
  4. Step 4: Simplify right side
    546.72x = 236,807.37
  5. Step 5: Solve for x
    x = 236,807.37/546.72
  6. Step 6: Final answer
    x = 433.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.