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Finding the Fourth Proportional to 594.70, 892.35 and 286.82

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Solution

The fourth proportional to 594.70, 892.35 and 286.82 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 892.35 = 286.82 : x
  2. Step 2: Convert to fraction form
    594.70/892.35 = 286.82/x
  3. Step 3: Cross multiply
    594.70x = 892.35 × 286.82
  4. Step 4: Simplify right side
    594.70x = 255,938.29
  5. Step 5: Solve for x
    x = 255,938.29/594.70
  6. Step 6: Final answer
    x = 430.36

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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.