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Finding the Fourth Proportional to 530.22, 731.26 and 405.69

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Solution

The fourth proportional to 530.22, 731.26 and 405.69 is: 559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 731.26 = 405.69 : x
  2. Step 2: Convert to fraction form
    530.22/731.26 = 405.69/x
  3. Step 3: Cross multiply
    530.22x = 731.26 × 405.69
  4. Step 4: Simplify right side
    530.22x = 296,664.87
  5. Step 5: Solve for x
    x = 296,664.87/530.22
  6. Step 6: Final answer
    x = 559.51

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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.