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Finding the Fourth Proportional to 585.81, 883.13 and 546.18

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Solution

The fourth proportional to 585.81, 883.13 and 546.18 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.81 : 883.13 = 546.18 : x
  2. Step 2: Convert to fraction form
    585.81/883.13 = 546.18/x
  3. Step 3: Cross multiply
    585.81x = 883.13 × 546.18
  4. Step 4: Simplify right side
    585.81x = 482,345.21
  5. Step 5: Solve for x
    x = 482,345.21/585.81
  6. Step 6: Final answer
    x = 823.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.