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Finding the Fourth Proportional to 515.63, 772.90 and 284.02

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Solution

The fourth proportional to 515.63, 772.90 and 284.02 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.63 : 772.90 = 284.02 : x
  2. Step 2: Convert to fraction form
    515.63/772.90 = 284.02/x
  3. Step 3: Cross multiply
    515.63x = 772.90 × 284.02
  4. Step 4: Simplify right side
    515.63x = 219,516.42
  5. Step 5: Solve for x
    x = 219,516.42/515.63
  6. Step 6: Final answer
    x = 425.72

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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.