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Finding the Fourth Proportional to 503.65, 758.91 and 414.35

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Solution

The fourth proportional to 503.65, 758.91 and 414.35 is: 624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 758.91 = 414.35 : x
  2. Step 2: Convert to fraction form
    503.65/758.91 = 414.35/x
  3. Step 3: Cross multiply
    503.65x = 758.91 × 414.35
  4. Step 4: Simplify right side
    503.65x = 314,450.56
  5. Step 5: Solve for x
    x = 314,450.56/503.65
  6. Step 6: Final answer
    x = 624.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.