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Finding the Fourth Proportional to 504.42, 751.34 and 498.12

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Solution

The fourth proportional to 504.42, 751.34 and 498.12 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.42 : 751.34 = 498.12 : x
  2. Step 2: Convert to fraction form
    504.42/751.34 = 498.12/x
  3. Step 3: Cross multiply
    504.42x = 751.34 × 498.12
  4. Step 4: Simplify right side
    504.42x = 374,257.48
  5. Step 5: Solve for x
    x = 374,257.48/504.42
  6. Step 6: Final answer
    x = 741.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.