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Finding the Fourth Proportional to 585.09, 807.51 and 352.21

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Solution

The fourth proportional to 585.09, 807.51 and 352.21 is: 486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 807.51 = 352.21 : x
  2. Step 2: Convert to fraction form
    585.09/807.51 = 352.21/x
  3. Step 3: Cross multiply
    585.09x = 807.51 × 352.21
  4. Step 4: Simplify right side
    585.09x = 284,413.10
  5. Step 5: Solve for x
    x = 284,413.10/585.09
  6. Step 6: Final answer
    x = 486.10

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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.