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Finding the Fourth Proportional to 530.04, 731.63 and 343.20

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Solution

The fourth proportional to 530.04, 731.63 and 343.20 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 731.63 = 343.20 : x
  2. Step 2: Convert to fraction form
    530.04/731.63 = 343.20/x
  3. Step 3: Cross multiply
    530.04x = 731.63 × 343.20
  4. Step 4: Simplify right side
    530.04x = 251,099.02
  5. Step 5: Solve for x
    x = 251,099.02/530.04
  6. Step 6: Final answer
    x = 473.73

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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.