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Finding the Fourth Proportional to 529.10, 794.16 and 286.14

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Solution

The fourth proportional to 529.10, 794.16 and 286.14 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 794.16 = 286.14 : x
  2. Step 2: Convert to fraction form
    529.10/794.16 = 286.14/x
  3. Step 3: Cross multiply
    529.10x = 794.16 × 286.14
  4. Step 4: Simplify right side
    529.10x = 227,240.94
  5. Step 5: Solve for x
    x = 227,240.94/529.10
  6. Step 6: Final answer
    x = 429.49

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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.