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Finding the Fourth Proportional to 530.29, 731.32 and 343.59

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Solution

The fourth proportional to 530.29, 731.32 and 343.59 is: 473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.29 : 731.32 = 343.59 : x
  2. Step 2: Convert to fraction form
    530.29/731.32 = 343.59/x
  3. Step 3: Cross multiply
    530.29x = 731.32 × 343.59
  4. Step 4: Simplify right side
    530.29x = 251,272.52
  5. Step 5: Solve for x
    x = 251,272.52/530.29
  6. Step 6: Final answer
    x = 473.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.