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Finding the Fourth Proportional to 554.90, 832.64 and 230.28

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Solution

The fourth proportional to 554.90, 832.64 and 230.28 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.90 : 832.64 = 230.28 : x
  2. Step 2: Convert to fraction form
    554.90/832.64 = 230.28/x
  3. Step 3: Cross multiply
    554.90x = 832.64 × 230.28
  4. Step 4: Simplify right side
    554.90x = 191,740.34
  5. Step 5: Solve for x
    x = 191,740.34/554.90
  6. Step 6: Final answer
    x = 345.54

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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.