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Finding the Fourth Proportional to 572.34, 790.37 and 460.33

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Solution

The fourth proportional to 572.34, 790.37 and 460.33 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 790.37 = 460.33 : x
  2. Step 2: Convert to fraction form
    572.34/790.37 = 460.33/x
  3. Step 3: Cross multiply
    572.34x = 790.37 × 460.33
  4. Step 4: Simplify right side
    572.34x = 363,828.47
  5. Step 5: Solve for x
    x = 363,828.47/572.34
  6. Step 6: Final answer
    x = 635.68

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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.