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Finding the Fourth Proportional to 541.14, 810.78 and 297.84

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Solution

The fourth proportional to 541.14, 810.78 and 297.84 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 810.78 = 297.84 : x
  2. Step 2: Convert to fraction form
    541.14/810.78 = 297.84/x
  3. Step 3: Cross multiply
    541.14x = 810.78 × 297.84
  4. Step 4: Simplify right side
    541.14x = 241,482.72
  5. Step 5: Solve for x
    x = 241,482.72/541.14
  6. Step 6: Final answer
    x = 446.25

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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.