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Finding the Fourth Proportional to 540.72, 811.06 and 298.78

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Solution

The fourth proportional to 540.72, 811.06 and 298.78 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 811.06 = 298.78 : x
  2. Step 2: Convert to fraction form
    540.72/811.06 = 298.78/x
  3. Step 3: Cross multiply
    540.72x = 811.06 × 298.78
  4. Step 4: Simplify right side
    540.72x = 242,328.51
  5. Step 5: Solve for x
    x = 242,328.51/540.72
  6. Step 6: Final answer
    x = 448.16

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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.