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Finding the Fourth Proportional to 503.56, 751.73 and 458.20

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Solution

The fourth proportional to 503.56, 751.73 and 458.20 is: 684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 751.73 = 458.20 : x
  2. Step 2: Convert to fraction form
    503.56/751.73 = 458.20/x
  3. Step 3: Cross multiply
    503.56x = 751.73 × 458.20
  4. Step 4: Simplify right side
    503.56x = 344,442.69
  5. Step 5: Solve for x
    x = 344,442.69/503.56
  6. Step 6: Final answer
    x = 684.02

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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.