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Finding the Fourth Proportional to 529.81, 795.02 and 286.33

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Solution

The fourth proportional to 529.81, 795.02 and 286.33 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.81 : 795.02 = 286.33 : x
  2. Step 2: Convert to fraction form
    529.81/795.02 = 286.33/x
  3. Step 3: Cross multiply
    529.81x = 795.02 × 286.33
  4. Step 4: Simplify right side
    529.81x = 227,638.08
  5. Step 5: Solve for x
    x = 227,638.08/529.81
  6. Step 6: Final answer
    x = 429.66

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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.