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Finding the Fourth Proportional to 534.77, 802.42 and 242.48

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Solution

The fourth proportional to 534.77, 802.42 and 242.48 is: 363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.77 : 802.42 = 242.48 : x
  2. Step 2: Convert to fraction form
    534.77/802.42 = 242.48/x
  3. Step 3: Cross multiply
    534.77x = 802.42 × 242.48
  4. Step 4: Simplify right side
    534.77x = 194,570.80
  5. Step 5: Solve for x
    x = 194,570.80/534.77
  6. Step 6: Final answer
    x = 363.84

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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.