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Finding the Fourth Proportional to 503.48, 756.14 and 464.92

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Solution

The fourth proportional to 503.48, 756.14 and 464.92 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 756.14 = 464.92 : x
  2. Step 2: Convert to fraction form
    503.48/756.14 = 464.92/x
  3. Step 3: Cross multiply
    503.48x = 756.14 × 464.92
  4. Step 4: Simplify right side
    503.48x = 351,544.61
  5. Step 5: Solve for x
    x = 351,544.61/503.48
  6. Step 6: Final answer
    x = 698.23

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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.