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Finding the Fourth Proportional to 572.23, 857.80 and 283.51

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Solution

The fourth proportional to 572.23, 857.80 and 283.51 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.23 : 857.80 = 283.51 : x
  2. Step 2: Convert to fraction form
    572.23/857.80 = 283.51/x
  3. Step 3: Cross multiply
    572.23x = 857.80 × 283.51
  4. Step 4: Simplify right side
    572.23x = 243,194.88
  5. Step 5: Solve for x
    x = 243,194.88/572.23
  6. Step 6: Final answer
    x = 424.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.