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Finding the Fourth Proportional to 572.42, 790.97 and 456.90

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Solution

The fourth proportional to 572.42, 790.97 and 456.90 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 790.97 = 456.90 : x
  2. Step 2: Convert to fraction form
    572.42/790.97 = 456.90/x
  3. Step 3: Cross multiply
    572.42x = 790.97 × 456.90
  4. Step 4: Simplify right side
    572.42x = 361,394.19
  5. Step 5: Solve for x
    x = 361,394.19/572.42
  6. Step 6: Final answer
    x = 631.34

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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.