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Finding the Fourth Proportional to 424.51, 585.83 and 247.58

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Solution

The fourth proportional to 424.51, 585.83 and 247.58 is: 341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.51 : 585.83 = 247.58 : x
  2. Step 2: Convert to fraction form
    424.51/585.83 = 247.58/x
  3. Step 3: Cross multiply
    424.51x = 585.83 × 247.58
  4. Step 4: Simplify right side
    424.51x = 145,040.09
  5. Step 5: Solve for x
    x = 145,040.09/424.51
  6. Step 6: Final answer
    x = 341.67

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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.