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Finding the Fourth Proportional to 572.78, 858.66 and 284

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Solution

The fourth proportional to 572.78, 858.66 and 284 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.78 : 858.66 = 284 : x
  2. Step 2: Convert to fraction form
    572.78/858.66 = 284/x
  3. Step 3: Cross multiply
    572.78x = 858.66 × 284
  4. Step 4: Simplify right side
    572.78x = 243,859.44
  5. Step 5: Solve for x
    x = 243,859.44/572.78
  6. Step 6: Final answer
    x = 425.75

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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.