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Finding the Fourth Proportional to 585.07, 807.39 and 352.21

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Solution

The fourth proportional to 585.07, 807.39 and 352.21 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.07 : 807.39 = 352.21 : x
  2. Step 2: Convert to fraction form
    585.07/807.39 = 352.21/x
  3. Step 3: Cross multiply
    585.07x = 807.39 × 352.21
  4. Step 4: Simplify right side
    585.07x = 284,370.83
  5. Step 5: Solve for x
    x = 284,370.83/585.07
  6. Step 6: Final answer
    x = 486.05

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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.