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Finding the Fourth Proportional to 503.60, 693.08 and 415.60

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Solution

The fourth proportional to 503.60, 693.08 and 415.60 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 693.08 = 415.60 : x
  2. Step 2: Convert to fraction form
    503.60/693.08 = 415.60/x
  3. Step 3: Cross multiply
    503.60x = 693.08 × 415.60
  4. Step 4: Simplify right side
    503.60x = 288,044.05
  5. Step 5: Solve for x
    x = 288,044.05/503.60
  6. Step 6: Final answer
    x = 571.97

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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.