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Finding the Fourth Proportional to 482.96, 665.82 and 475.07

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Solution

The fourth proportional to 482.96, 665.82 and 475.07 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 665.82 = 475.07 : x
  2. Step 2: Convert to fraction form
    482.96/665.82 = 475.07/x
  3. Step 3: Cross multiply
    482.96x = 665.82 × 475.07
  4. Step 4: Simplify right side
    482.96x = 316,307.78
  5. Step 5: Solve for x
    x = 316,307.78/482.96
  6. Step 6: Final answer
    x = 654.93

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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.