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Finding the Fourth Proportional to 495.68, 684.12 and 412.66

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Solution

The fourth proportional to 495.68, 684.12 and 412.66 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.68 : 684.12 = 412.66 : x
  2. Step 2: Convert to fraction form
    495.68/684.12 = 412.66/x
  3. Step 3: Cross multiply
    495.68x = 684.12 × 412.66
  4. Step 4: Simplify right side
    495.68x = 282,308.96
  5. Step 5: Solve for x
    x = 282,308.96/495.68
  6. Step 6: Final answer
    x = 569.54

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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.