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Finding the Fourth Proportional to 530.92, 732.73 and 334.43

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Solution

The fourth proportional to 530.92, 732.73 and 334.43 is: 461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.92 : 732.73 = 334.43 : x
  2. Step 2: Convert to fraction form
    530.92/732.73 = 334.43/x
  3. Step 3: Cross multiply
    530.92x = 732.73 × 334.43
  4. Step 4: Simplify right side
    530.92x = 245,043.23
  5. Step 5: Solve for x
    x = 245,043.23/530.92
  6. Step 6: Final answer
    x = 461.55

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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.