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Finding the Fourth Proportional to 498.64, 688.80 and 412.36

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Solution

The fourth proportional to 498.64, 688.80 and 412.36 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.64 : 688.80 = 412.36 : x
  2. Step 2: Convert to fraction form
    498.64/688.80 = 412.36/x
  3. Step 3: Cross multiply
    498.64x = 688.80 × 412.36
  4. Step 4: Simplify right side
    498.64x = 284,033.57
  5. Step 5: Solve for x
    x = 284,033.57/498.64
  6. Step 6: Final answer
    x = 569.62

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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.