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Finding the Fourth Proportional to 503.14, 752.55 and 412.42

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Solution

The fourth proportional to 503.14, 752.55 and 412.42 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.14 : 752.55 = 412.42 : x
  2. Step 2: Convert to fraction form
    503.14/752.55 = 412.42/x
  3. Step 3: Cross multiply
    503.14x = 752.55 × 412.42
  4. Step 4: Simplify right side
    503.14x = 310,366.67
  5. Step 5: Solve for x
    x = 310,366.67/503.14
  6. Step 6: Final answer
    x = 616.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.