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Finding the Fourth Proportional to 406.51, 560.54 and 266.58

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Solution

The fourth proportional to 406.51, 560.54 and 266.58 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.51 : 560.54 = 266.58 : x
  2. Step 2: Convert to fraction form
    406.51/560.54 = 266.58/x
  3. Step 3: Cross multiply
    406.51x = 560.54 × 266.58
  4. Step 4: Simplify right side
    406.51x = 149,429.42
  5. Step 5: Solve for x
    x = 149,429.42/406.51
  6. Step 6: Final answer
    x = 367.59

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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.