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Finding the Fourth Proportional to 546.76, 754.53 and 298.08

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Solution

The fourth proportional to 546.76, 754.53 and 298.08 is: 411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 754.53 = 298.08 : x
  2. Step 2: Convert to fraction form
    546.76/754.53 = 298.08/x
  3. Step 3: Cross multiply
    546.76x = 754.53 × 298.08
  4. Step 4: Simplify right side
    546.76x = 224,908.81
  5. Step 5: Solve for x
    x = 224,908.81/546.76
  6. Step 6: Final answer
    x = 411.35

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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.