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Finding the Fourth Proportional to 406.24, 560.69 and 256.77

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Solution

The fourth proportional to 406.24, 560.69 and 256.77 is: 354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 560.69 = 256.77 : x
  2. Step 2: Convert to fraction form
    406.24/560.69 = 256.77/x
  3. Step 3: Cross multiply
    406.24x = 560.69 × 256.77
  4. Step 4: Simplify right side
    406.24x = 143,966.74
  5. Step 5: Solve for x
    x = 143,966.74/406.24
  6. Step 6: Final answer
    x = 354.39

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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.