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Finding the Fourth Proportional to 546.33, 757.80 and 526.63

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Solution

The fourth proportional to 546.33, 757.80 and 526.63 is: 730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.33 : 757.80 = 526.63 : x
  2. Step 2: Convert to fraction form
    546.33/757.80 = 526.63/x
  3. Step 3: Cross multiply
    546.33x = 757.80 × 526.63
  4. Step 4: Simplify right side
    546.33x = 399,085.05
  5. Step 5: Solve for x
    x = 399,085.05/546.33
  6. Step 6: Final answer
    x = 730.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.