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Finding the Fourth Proportional to 585.40, 807.52 and 352.36

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Solution

The fourth proportional to 585.40, 807.52 and 352.36 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 807.52 = 352.36 : x
  2. Step 2: Convert to fraction form
    585.40/807.52 = 352.36/x
  3. Step 3: Cross multiply
    585.40x = 807.52 × 352.36
  4. Step 4: Simplify right side
    585.40x = 284,537.75
  5. Step 5: Solve for x
    x = 284,537.75/585.40
  6. Step 6: Final answer
    x = 486.06

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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.