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Finding the Fourth Proportional to 417.07, 575.70 and 259.73

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Solution

The fourth proportional to 417.07, 575.70 and 259.73 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.07 : 575.70 = 259.73 : x
  2. Step 2: Convert to fraction form
    417.07/575.70 = 259.73/x
  3. Step 3: Cross multiply
    417.07x = 575.70 × 259.73
  4. Step 4: Simplify right side
    417.07x = 149,526.56
  5. Step 5: Solve for x
    x = 149,526.56/417.07
  6. Step 6: Final answer
    x = 358.52

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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.