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Finding the Fourth Proportional to 585.45, 807.80 and 352.53

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Solution

The fourth proportional to 585.45, 807.80 and 352.53 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 807.80 = 352.53 : x
  2. Step 2: Convert to fraction form
    585.45/807.80 = 352.53/x
  3. Step 3: Cross multiply
    585.45x = 807.80 × 352.53
  4. Step 4: Simplify right side
    585.45x = 284,771.97
  5. Step 5: Solve for x
    x = 284,771.97/585.45
  6. Step 6: Final answer
    x = 486.42

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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.