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Finding the Fourth Proportional to 810.48, 1,215.24 and 378

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Solution

The fourth proportional to 810.48, 1,215.24 and 378 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.48 : 1,215.24 = 378 : x
  2. Step 2: Convert to fraction form
    810.48/1,215.24 = 378/x
  3. Step 3: Cross multiply
    810.48x = 1,215.24 × 378
  4. Step 4: Simplify right side
    810.48x = 459,360.72
  5. Step 5: Solve for x
    x = 459,360.72/810.48
  6. Step 6: Final answer
    x = 566.78

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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.