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Finding the Fourth Proportional to 586.31, 883.88 and 546.67

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Solution

The fourth proportional to 586.31, 883.88 and 546.67 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 883.88 = 546.67 : x
  2. Step 2: Convert to fraction form
    586.31/883.88 = 546.67/x
  3. Step 3: Cross multiply
    586.31x = 883.88 × 546.67
  4. Step 4: Simplify right side
    586.31x = 483,190.68
  5. Step 5: Solve for x
    x = 483,190.68/586.31
  6. Step 6: Final answer
    x = 824.12

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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.