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Finding the Fourth Proportional to 469.74, 646.60 and 406.68

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Solution

The fourth proportional to 469.74, 646.60 and 406.68 is: 559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.74 : 646.60 = 406.68 : x
  2. Step 2: Convert to fraction form
    469.74/646.60 = 406.68/x
  3. Step 3: Cross multiply
    469.74x = 646.60 × 406.68
  4. Step 4: Simplify right side
    469.74x = 262,959.29
  5. Step 5: Solve for x
    x = 262,959.29/469.74
  6. Step 6: Final answer
    x = 559.80

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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.