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Finding the Fourth Proportional to 540.34, 740.82 and 530.62

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Solution

The fourth proportional to 540.34, 740.82 and 530.62 is: 727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 740.82 = 530.62 : x
  2. Step 2: Convert to fraction form
    540.34/740.82 = 530.62/x
  3. Step 3: Cross multiply
    540.34x = 740.82 × 530.62
  4. Step 4: Simplify right side
    540.34x = 393,093.91
  5. Step 5: Solve for x
    x = 393,093.91/540.34
  6. Step 6: Final answer
    x = 727.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.