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Finding the Fourth Proportional to 572.96, 857.52 and 469.92

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Solution

The fourth proportional to 572.96, 857.52 and 469.92 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 857.52 = 469.92 : x
  2. Step 2: Convert to fraction form
    572.96/857.52 = 469.92/x
  3. Step 3: Cross multiply
    572.96x = 857.52 × 469.92
  4. Step 4: Simplify right side
    572.96x = 402,965.80
  5. Step 5: Solve for x
    x = 402,965.80/572.96
  6. Step 6: Final answer
    x = 703.31

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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.