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Finding the Fourth Proportional to 530.25, 794.97 and 286.44

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Solution

The fourth proportional to 530.25, 794.97 and 286.44 is: 429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.25 : 794.97 = 286.44 : x
  2. Step 2: Convert to fraction form
    530.25/794.97 = 286.44/x
  3. Step 3: Cross multiply
    530.25x = 794.97 × 286.44
  4. Step 4: Simplify right side
    530.25x = 227,711.21
  5. Step 5: Solve for x
    x = 227,711.21/530.25
  6. Step 6: Final answer
    x = 429.44

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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.