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Finding the Fourth Proportional to 406.24, 560.76 and 290.16

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Solution

The fourth proportional to 406.24, 560.76 and 290.16 is: 400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 560.76 = 290.16 : x
  2. Step 2: Convert to fraction form
    406.24/560.76 = 290.16/x
  3. Step 3: Cross multiply
    406.24x = 560.76 × 290.16
  4. Step 4: Simplify right side
    406.24x = 162,710.12
  5. Step 5: Solve for x
    x = 162,710.12/406.24
  6. Step 6: Final answer
    x = 400.53

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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.