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Finding the Fourth Proportional to 572.93, 790.72 and 324.30

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Solution

The fourth proportional to 572.93, 790.72 and 324.30 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.93 : 790.72 = 324.30 : x
  2. Step 2: Convert to fraction form
    572.93/790.72 = 324.30/x
  3. Step 3: Cross multiply
    572.93x = 790.72 × 324.30
  4. Step 4: Simplify right side
    572.93x = 256,430.23
  5. Step 5: Solve for x
    x = 256,430.23/572.93
  6. Step 6: Final answer
    x = 447.58

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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.