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Finding the Fourth Proportional to 546.23, 819.65 and 302.72

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Solution

The fourth proportional to 546.23, 819.65 and 302.72 is: 454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.23 : 819.65 = 302.72 : x
  2. Step 2: Convert to fraction form
    546.23/819.65 = 302.72/x
  3. Step 3: Cross multiply
    546.23x = 819.65 × 302.72
  4. Step 4: Simplify right side
    546.23x = 248,118.84
  5. Step 5: Solve for x
    x = 248,118.84/546.23
  6. Step 6: Final answer
    x = 454.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.