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Finding the Fourth Proportional to 586.44, 884.06 and 546.81

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Solution

The fourth proportional to 586.44, 884.06 and 546.81 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.44 : 884.06 = 546.81 : x
  2. Step 2: Convert to fraction form
    586.44/884.06 = 546.81/x
  3. Step 3: Cross multiply
    586.44x = 884.06 × 546.81
  4. Step 4: Simplify right side
    586.44x = 483,412.85
  5. Step 5: Solve for x
    x = 483,412.85/586.44
  6. Step 6: Final answer
    x = 824.32

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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.