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Finding the Fourth Proportional to 595.13, 892.96 and 286.92

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Solution

The fourth proportional to 595.13, 892.96 and 286.92 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.13 : 892.96 = 286.92 : x
  2. Step 2: Convert to fraction form
    595.13/892.96 = 286.92/x
  3. Step 3: Cross multiply
    595.13x = 892.96 × 286.92
  4. Step 4: Simplify right side
    595.13x = 256,207.37
  5. Step 5: Solve for x
    x = 256,207.37/595.13
  6. Step 6: Final answer
    x = 430.51

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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.