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Finding the Fourth Proportional to 576.02, 795.75 and 498.26

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Solution

The fourth proportional to 576.02, 795.75 and 498.26 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 795.75 = 498.26 : x
  2. Step 2: Convert to fraction form
    576.02/795.75 = 498.26/x
  3. Step 3: Cross multiply
    576.02x = 795.75 × 498.26
  4. Step 4: Simplify right side
    576.02x = 396,490.40
  5. Step 5: Solve for x
    x = 396,490.40/576.02
  6. Step 6: Final answer
    x = 688.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.