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Finding the Fourth Proportional to 585.44, 807.54 and 352.52

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Solution

The fourth proportional to 585.44, 807.54 and 352.52 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 807.54 = 352.52 : x
  2. Step 2: Convert to fraction form
    585.44/807.54 = 352.52/x
  3. Step 3: Cross multiply
    585.44x = 807.54 × 352.52
  4. Step 4: Simplify right side
    585.44x = 284,674.00
  5. Step 5: Solve for x
    x = 284,674.00/585.44
  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.