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Finding the Fourth Proportional to 586.56, 884.25 and 546.93

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Solution

The fourth proportional to 586.56, 884.25 and 546.93 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 884.25 = 546.93 : x
  2. Step 2: Convert to fraction form
    586.56/884.25 = 546.93/x
  3. Step 3: Cross multiply
    586.56x = 884.25 × 546.93
  4. Step 4: Simplify right side
    586.56x = 483,622.85
  5. Step 5: Solve for x
    x = 483,622.85/586.56
  6. Step 6: Final answer
    x = 824.50

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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.