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Finding the Fourth Proportional to 369.64, 509.79 and 282.34

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Solution

The fourth proportional to 369.64, 509.79 and 282.34 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 509.79 = 282.34 : x
  2. Step 2: Convert to fraction form
    369.64/509.79 = 282.34/x
  3. Step 3: Cross multiply
    369.64x = 509.79 × 282.34
  4. Step 4: Simplify right side
    369.64x = 143,934.11
  5. Step 5: Solve for x
    x = 143,934.11/369.64
  6. Step 6: Final answer
    x = 389.39

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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.