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Finding the Fourth Proportional to 554.54, 827.52 and 496.16

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Solution

The fourth proportional to 554.54, 827.52 and 496.16 is: 740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.54 : 827.52 = 496.16 : x
  2. Step 2: Convert to fraction form
    554.54/827.52 = 496.16/x
  3. Step 3: Cross multiply
    554.54x = 827.52 × 496.16
  4. Step 4: Simplify right side
    554.54x = 410,578.19
  5. Step 5: Solve for x
    x = 410,578.19/554.54
  6. Step 6: Final answer
    x = 740.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.