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Finding the Fourth Proportional to 534.19, 800.83 and 286.84

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Solution

The fourth proportional to 534.19, 800.83 and 286.84 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.19 : 800.83 = 286.84 : x
  2. Step 2: Convert to fraction form
    534.19/800.83 = 286.84/x
  3. Step 3: Cross multiply
    534.19x = 800.83 × 286.84
  4. Step 4: Simplify right side
    534.19x = 229,710.08
  5. Step 5: Solve for x
    x = 229,710.08/534.19
  6. Step 6: Final answer
    x = 430.02

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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.