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Finding the Fourth Proportional to 554.08, 832.56 and 514.24

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Solution

The fourth proportional to 554.08, 832.56 and 514.24 is: 772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.08 : 832.56 = 514.24 : x
  2. Step 2: Convert to fraction form
    554.08/832.56 = 514.24/x
  3. Step 3: Cross multiply
    554.08x = 832.56 × 514.24
  4. Step 4: Simplify right side
    554.08x = 428,135.65
  5. Step 5: Solve for x
    x = 428,135.65/554.08
  6. Step 6: Final answer
    x = 772.70

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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.