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Finding the Fourth Proportional to 546.47, 754.14 and 313.59

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Solution

The fourth proportional to 546.47, 754.14 and 313.59 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 754.14 = 313.59 : x
  2. Step 2: Convert to fraction form
    546.47/754.14 = 313.59/x
  3. Step 3: Cross multiply
    546.47x = 754.14 × 313.59
  4. Step 4: Simplify right side
    546.47x = 236,494.77
  5. Step 5: Solve for x
    x = 236,494.77/546.47
  6. Step 6: Final answer
    x = 432.77

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