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Finding the Fourth Proportional to 572.40, 857.88 and 283.76

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Solution

The fourth proportional to 572.40, 857.88 and 283.76 is: 425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.40 : 857.88 = 283.76 : x
  2. Step 2: Convert to fraction form
    572.40/857.88 = 283.76/x
  3. Step 3: Cross multiply
    572.40x = 857.88 × 283.76
  4. Step 4: Simplify right side
    572.40x = 243,432.03
  5. Step 5: Solve for x
    x = 243,432.03/572.40
  6. Step 6: Final answer
    x = 425.28

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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.