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Finding the Fourth Proportional to 530.98, 796.16 and 242.26

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Solution

The fourth proportional to 530.98, 796.16 and 242.26 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 796.16 = 242.26 : x
  2. Step 2: Convert to fraction form
    530.98/796.16 = 242.26/x
  3. Step 3: Cross multiply
    530.98x = 796.16 × 242.26
  4. Step 4: Simplify right side
    530.98x = 192,877.72
  5. Step 5: Solve for x
    x = 192,877.72/530.98
  6. Step 6: Final answer
    x = 363.25

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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.