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Finding the Fourth Proportional to 406.64, 560.58 and 290.00

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Solution

The fourth proportional to 406.64, 560.58 and 290.00 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.64 : 560.58 = 290.00 : x
  2. Step 2: Convert to fraction form
    406.64/560.58 = 290.00/x
  3. Step 3: Cross multiply
    406.64x = 560.58 × 290.00
  4. Step 4: Simplify right side
    406.64x = 162,563.95
  5. Step 5: Solve for x
    x = 162,563.95/406.64
  6. Step 6: Final answer
    x = 399.78

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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.