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Finding the Fourth Proportional to 504.76, 756.18 and 298.70

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Solution

The fourth proportional to 504.76, 756.18 and 298.70 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.76 : 756.18 = 298.70 : x
  2. Step 2: Convert to fraction form
    504.76/756.18 = 298.70/x
  3. Step 3: Cross multiply
    504.76x = 756.18 × 298.70
  4. Step 4: Simplify right side
    504.76x = 225,870.97
  5. Step 5: Solve for x
    x = 225,870.97/504.76
  6. Step 6: Final answer
    x = 447.48

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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.