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Finding the Fourth Proportional to 572, 857.36 and 283.60

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Solution

The fourth proportional to 572, 857.36 and 283.60 is: 425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 857.36 = 283.60 : x
  2. Step 2: Convert to fraction form
    572/857.36 = 283.60/x
  3. Step 3: Cross multiply
    572x = 857.36 × 283.60
  4. Step 4: Simplify right side
    572x = 243,147.30
  5. Step 5: Solve for x
    x = 243,147.30/572
  6. Step 6: Final answer
    x = 425.08

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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.