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Finding the Fourth Proportional to 617.49, 851.54 and 420.93

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Solution

The fourth proportional to 617.49, 851.54 and 420.93 is: 580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 851.54 = 420.93 : x
  2. Step 2: Convert to fraction form
    617.49/851.54 = 420.93/x
  3. Step 3: Cross multiply
    617.49x = 851.54 × 420.93
  4. Step 4: Simplify right side
    617.49x = 358,436.63
  5. Step 5: Solve for x
    x = 358,436.63/617.49
  6. Step 6: Final answer
    x = 580.47

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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.