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Finding the Fourth Proportional to 572.76, 859.68 and 492.84

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Solution

The fourth proportional to 572.76, 859.68 and 492.84 is: 739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 859.68 = 492.84 : x
  2. Step 2: Convert to fraction form
    572.76/859.68 = 492.84/x
  3. Step 3: Cross multiply
    572.76x = 859.68 × 492.84
  4. Step 4: Simplify right side
    572.76x = 423,684.69
  5. Step 5: Solve for x
    x = 423,684.69/572.76
  6. Step 6: Final answer
    x = 739.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.