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Finding the Fourth Proportional to 504.51, 758.30 and 493.74

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Solution

The fourth proportional to 504.51, 758.30 and 493.74 is: 742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 758.30 = 493.74 : x
  2. Step 2: Convert to fraction form
    504.51/758.30 = 493.74/x
  3. Step 3: Cross multiply
    504.51x = 758.30 × 493.74
  4. Step 4: Simplify right side
    504.51x = 374,400.57
  5. Step 5: Solve for x
    x = 374,400.57/504.51
  6. Step 6: Final answer
    x = 742.11

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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.