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Finding the Fourth Proportional to 482.35, 665.63 and 283.17

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Solution

The fourth proportional to 482.35, 665.63 and 283.17 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.35 : 665.63 = 283.17 : x
  2. Step 2: Convert to fraction form
    482.35/665.63 = 283.17/x
  3. Step 3: Cross multiply
    482.35x = 665.63 × 283.17
  4. Step 4: Simplify right side
    482.35x = 188,488.15
  5. Step 5: Solve for x
    x = 188,488.15/482.35
  6. Step 6: Final answer
    x = 390.77

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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.