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Finding the Fourth Proportional to 503.42, 758.36 and 497.04

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Solution

The fourth proportional to 503.42, 758.36 and 497.04 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 758.36 = 497.04 : x
  2. Step 2: Convert to fraction form
    503.42/758.36 = 497.04/x
  3. Step 3: Cross multiply
    503.42x = 758.36 × 497.04
  4. Step 4: Simplify right side
    503.42x = 376,933.65
  5. Step 5: Solve for x
    x = 376,933.65/503.42
  6. Step 6: Final answer
    x = 748.75

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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.