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Finding the Fourth Proportional to 503.12, 754.65 and 415.64

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Solution

The fourth proportional to 503.12, 754.65 and 415.64 is: 623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 754.65 = 415.64 : x
  2. Step 2: Convert to fraction form
    503.12/754.65 = 415.64/x
  3. Step 3: Cross multiply
    503.12x = 754.65 × 415.64
  4. Step 4: Simplify right side
    503.12x = 313,658.95
  5. Step 5: Solve for x
    x = 313,658.95/503.12
  6. Step 6: Final answer
    x = 623.43

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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.