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Finding the Fourth Proportional to 546.83, 753.34 and 380.76

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Solution

The fourth proportional to 546.83, 753.34 and 380.76 is: 524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 753.34 = 380.76 : x
  2. Step 2: Convert to fraction form
    546.83/753.34 = 380.76/x
  3. Step 3: Cross multiply
    546.83x = 753.34 × 380.76
  4. Step 4: Simplify right side
    546.83x = 286,841.74
  5. Step 5: Solve for x
    x = 286,841.74/546.83
  6. Step 6: Final answer
    x = 524.55

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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.