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Finding the Fourth Proportional to 555.16, 832.92 and 230.56

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Solution

The fourth proportional to 555.16, 832.92 and 230.56 is: 345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.92 = 230.56 : x
  2. Step 2: Convert to fraction form
    555.16/832.92 = 230.56/x
  3. Step 3: Cross multiply
    555.16x = 832.92 × 230.56
  4. Step 4: Simplify right side
    555.16x = 192,038.04
  5. Step 5: Solve for x
    x = 192,038.04/555.16
  6. Step 6: Final answer
    x = 345.91

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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.