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Finding the Fourth Proportional to 529.98, 731.06 and 362.22

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Solution

The fourth proportional to 529.98, 731.06 and 362.22 is: 499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.98 : 731.06 = 362.22 : x
  2. Step 2: Convert to fraction form
    529.98/731.06 = 362.22/x
  3. Step 3: Cross multiply
    529.98x = 731.06 × 362.22
  4. Step 4: Simplify right side
    529.98x = 264,804.55
  5. Step 5: Solve for x
    x = 264,804.55/529.98
  6. Step 6: Final answer
    x = 499.65

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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.