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Finding the Fourth Proportional to 407.37, 561.96 and 259.74

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Solution

The fourth proportional to 407.37, 561.96 and 259.74 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 561.96 = 259.74 : x
  2. Step 2: Convert to fraction form
    407.37/561.96 = 259.74/x
  3. Step 3: Cross multiply
    407.37x = 561.96 × 259.74
  4. Step 4: Simplify right side
    407.37x = 145,963.49
  5. Step 5: Solve for x
    x = 145,963.49/407.37
  6. Step 6: Final answer
    x = 358.31

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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.