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Finding the Fourth Proportional to 530.47, 731.91 and 343.99

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Solution

The fourth proportional to 530.47, 731.91 and 343.99 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.47 : 731.91 = 343.99 : x
  2. Step 2: Convert to fraction form
    530.47/731.91 = 343.99/x
  3. Step 3: Cross multiply
    530.47x = 731.91 × 343.99
  4. Step 4: Simplify right side
    530.47x = 251,769.72
  5. Step 5: Solve for x
    x = 251,769.72/530.47
  6. Step 6: Final answer
    x = 474.62

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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.