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Finding the Fourth Proportional to 482.16, 665.28 and 307.20

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Solution

The fourth proportional to 482.16, 665.28 and 307.20 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.16 : 665.28 = 307.20 : x
  2. Step 2: Convert to fraction form
    482.16/665.28 = 307.20/x
  3. Step 3: Cross multiply
    482.16x = 665.28 × 307.20
  4. Step 4: Simplify right side
    482.16x = 204,374.02
  5. Step 5: Solve for x
    x = 204,374.02/482.16
  6. Step 6: Final answer
    x = 423.87

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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.