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Finding the Fourth Proportional to 424.19, 585.84 and 378.38

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Solution

The fourth proportional to 424.19, 585.84 and 378.38 is: 522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 585.84 = 378.38 : x
  2. Step 2: Convert to fraction form
    424.19/585.84 = 378.38/x
  3. Step 3: Cross multiply
    424.19x = 585.84 × 378.38
  4. Step 4: Simplify right side
    424.19x = 221,670.14
  5. Step 5: Solve for x
    x = 221,670.14/424.19
  6. Step 6: Final answer
    x = 522.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.