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Finding the Fourth Proportional to 482.46, 665.82 and 317.13

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Solution

The fourth proportional to 482.46, 665.82 and 317.13 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.46 : 665.82 = 317.13 : x
  2. Step 2: Convert to fraction form
    482.46/665.82 = 317.13/x
  3. Step 3: Cross multiply
    482.46x = 665.82 × 317.13
  4. Step 4: Simplify right side
    482.46x = 211,151.50
  5. Step 5: Solve for x
    x = 211,151.50/482.46
  6. Step 6: Final answer
    x = 437.66

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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.