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Finding the Fourth Proportional to 406.64, 560.83 and 259.02

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Solution

The fourth proportional to 406.64, 560.83 and 259.02 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 560.83 = 259.02 : x
  2. Step 2: Convert to fraction form
    406.64/560.83 = 259.02/x
  3. Step 3: Cross multiply
    406.64x = 560.83 × 259.02
  4. Step 4: Simplify right side
    406.64x = 145,266.19
  5. Step 5: Solve for x
    x = 145,266.19/406.64
  6. Step 6: Final answer
    x = 357.24

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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.