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Finding the Fourth Proportional to 417.06, 575.70 and 259.74

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Solution

The fourth proportional to 417.06, 575.70 and 259.74 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 575.70 = 259.74 : x
  2. Step 2: Convert to fraction form
    417.06/575.70 = 259.74/x
  3. Step 3: Cross multiply
    417.06x = 575.70 × 259.74
  4. Step 4: Simplify right side
    417.06x = 149,532.32
  5. Step 5: Solve for x
    x = 149,532.32/417.06
  6. Step 6: Final answer
    x = 358.54

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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.