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Finding the Fourth Proportional to 529.85, 794.79 and 282.95

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Solution

The fourth proportional to 529.85, 794.79 and 282.95 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.85 : 794.79 = 282.95 : x
  2. Step 2: Convert to fraction form
    529.85/794.79 = 282.95/x
  3. Step 3: Cross multiply
    529.85x = 794.79 × 282.95
  4. Step 4: Simplify right side
    529.85x = 224,885.83
  5. Step 5: Solve for x
    x = 224,885.83/529.85
  6. Step 6: Final answer
    x = 424.43

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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.