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Finding the Fourth Proportional to 614.41, 847.69 and 417.58

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Solution

The fourth proportional to 614.41, 847.69 and 417.58 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 847.69 = 417.58 : x
  2. Step 2: Convert to fraction form
    614.41/847.69 = 417.58/x
  3. Step 3: Cross multiply
    614.41x = 847.69 × 417.58
  4. Step 4: Simplify right side
    614.41x = 353,975.23
  5. Step 5: Solve for x
    x = 353,975.23/614.41
  6. Step 6: Final answer
    x = 576.12

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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.