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Finding the Fourth Proportional to 407.14, 561.52 and 259.45

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Solution

The fourth proportional to 407.14, 561.52 and 259.45 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 561.52 = 259.45 : x
  2. Step 2: Convert to fraction form
    407.14/561.52 = 259.45/x
  3. Step 3: Cross multiply
    407.14x = 561.52 × 259.45
  4. Step 4: Simplify right side
    407.14x = 145,686.36
  5. Step 5: Solve for x
    x = 145,686.36/407.14
  6. Step 6: Final answer
    x = 357.83

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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.