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Finding the Fourth Proportional to 585.16, 807.71 and 352.28

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Solution

The fourth proportional to 585.16, 807.71 and 352.28 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.16 : 807.71 = 352.28 : x
  2. Step 2: Convert to fraction form
    585.16/807.71 = 352.28/x
  3. Step 3: Cross multiply
    585.16x = 807.71 × 352.28
  4. Step 4: Simplify right side
    585.16x = 284,540.34
  5. Step 5: Solve for x
    x = 284,540.34/585.16
  6. Step 6: Final answer
    x = 486.26

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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.