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Finding the Fourth Proportional to 482.08, 665.38 and 316

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Solution

The fourth proportional to 482.08, 665.38 and 316 is: 436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.08 : 665.38 = 316 : x
  2. Step 2: Convert to fraction form
    482.08/665.38 = 316/x
  3. Step 3: Cross multiply
    482.08x = 665.38 × 316
  4. Step 4: Simplify right side
    482.08x = 210,260.08
  5. Step 5: Solve for x
    x = 210,260.08/482.08
  6. Step 6: Final answer
    x = 436.15

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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.