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Finding the Fourth Proportional to 369.56, 510.21 and 282.40

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Solution

The fourth proportional to 369.56, 510.21 and 282.40 is: 389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.56 : 510.21 = 282.40 : x
  2. Step 2: Convert to fraction form
    369.56/510.21 = 282.40/x
  3. Step 3: Cross multiply
    369.56x = 510.21 × 282.40
  4. Step 4: Simplify right side
    369.56x = 144,082.03
  5. Step 5: Solve for x
    x = 144,082.03/369.56
  6. Step 6: Final answer
    x = 389.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.