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Finding the Fourth Proportional to 572.74, 790.41 and 432.61

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Solution

The fourth proportional to 572.74, 790.41 and 432.61 is: 597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.74 : 790.41 = 432.61 : x
  2. Step 2: Convert to fraction form
    572.74/790.41 = 432.61/x
  3. Step 3: Cross multiply
    572.74x = 790.41 × 432.61
  4. Step 4: Simplify right side
    572.74x = 341,938.92
  5. Step 5: Solve for x
    x = 341,938.92/572.74
  6. Step 6: Final answer
    x = 597.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.