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Finding the Fourth Proportional to 383.98, 530.42 and 369.76

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Solution

The fourth proportional to 383.98, 530.42 and 369.76 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.98 : 530.42 = 369.76 : x
  2. Step 2: Convert to fraction form
    383.98/530.42 = 369.76/x
  3. Step 3: Cross multiply
    383.98x = 530.42 × 369.76
  4. Step 4: Simplify right side
    383.98x = 196,128.10
  5. Step 5: Solve for x
    x = 196,128.10/383.98
  6. Step 6: Final answer
    x = 510.78

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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.