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Finding the Fourth Proportional to 586.00, 883.41 and 546.36

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Solution

The fourth proportional to 586.00, 883.41 and 546.36 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.00 : 883.41 = 546.36 : x
  2. Step 2: Convert to fraction form
    586.00/883.41 = 546.36/x
  3. Step 3: Cross multiply
    586.00x = 883.41 × 546.36
  4. Step 4: Simplify right side
    586.00x = 482,659.50
  5. Step 5: Solve for x
    x = 482,659.50/586.00
  6. Step 6: Final answer
    x = 823.65

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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.