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Finding the Fourth Proportional to 554.92, 832.97 and 469.30

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Solution

The fourth proportional to 554.92, 832.97 and 469.30 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.92 : 832.97 = 469.30 : x
  2. Step 2: Convert to fraction form
    554.92/832.97 = 469.30/x
  3. Step 3: Cross multiply
    554.92x = 832.97 × 469.30
  4. Step 4: Simplify right side
    554.92x = 390,912.82
  5. Step 5: Solve for x
    x = 390,912.82/554.92
  6. Step 6: Final answer
    x = 704.45

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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.