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Finding the Fourth Proportional to 546.27, 753.86 and 297.59

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Solution

The fourth proportional to 546.27, 753.86 and 297.59 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 753.86 = 297.59 : x
  2. Step 2: Convert to fraction form
    546.27/753.86 = 297.59/x
  3. Step 3: Cross multiply
    546.27x = 753.86 × 297.59
  4. Step 4: Simplify right side
    546.27x = 224,340.74
  5. Step 5: Solve for x
    x = 224,340.74/546.27
  6. Step 6: Final answer
    x = 410.67

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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.