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Finding the Fourth Proportional to 374.93, 561.49 and 259.07

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Solution

The fourth proportional to 374.93, 561.49 and 259.07 is: 387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.93 : 561.49 = 259.07 : x
  2. Step 2: Convert to fraction form
    374.93/561.49 = 259.07/x
  3. Step 3: Cross multiply
    374.93x = 561.49 × 259.07
  4. Step 4: Simplify right side
    374.93x = 145,463.86
  5. Step 5: Solve for x
    x = 145,463.86/374.93
  6. Step 6: Final answer
    x = 387.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.