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Finding the Fourth Proportional to 620, 857.20 and 592.80

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Solution

The fourth proportional to 620, 857.20 and 592.80 is: 819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 857.20 = 592.80 : x
  2. Step 2: Convert to fraction form
    620/857.20 = 592.80/x
  3. Step 3: Cross multiply
    620x = 857.20 × 592.80
  4. Step 4: Simplify right side
    620x = 508,148.16
  5. Step 5: Solve for x
    x = 508,148.16/620
  6. Step 6: Final answer
    x = 819.59

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