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Finding the Fourth Proportional to 416.73, 575.10 and 259.35

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Solution

The fourth proportional to 416.73, 575.10 and 259.35 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 575.10 = 259.35 : x
  2. Step 2: Convert to fraction form
    416.73/575.10 = 259.35/x
  3. Step 3: Cross multiply
    416.73x = 575.10 × 259.35
  4. Step 4: Simplify right side
    416.73x = 149,152.19
  5. Step 5: Solve for x
    x = 149,152.19/416.73
  6. Step 6: Final answer
    x = 357.91

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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.