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Finding the Fourth Proportional to 531.34, 796.29 and 242.10

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Solution

The fourth proportional to 531.34, 796.29 and 242.10 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.34 : 796.29 = 242.10 : x
  2. Step 2: Convert to fraction form
    531.34/796.29 = 242.10/x
  3. Step 3: Cross multiply
    531.34x = 796.29 × 242.10
  4. Step 4: Simplify right side
    531.34x = 192,781.81
  5. Step 5: Solve for x
    x = 192,781.81/531.34
  6. Step 6: Final answer
    x = 362.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.